Spy Number (Sum and Products of Digits are same)

Last Updated : 17 Feb, 2023

A number is said to be a Spy number if the sum of all the digits is equal to the product of all digits.
Examples :

Input : 1412
Output : Spy Number
Explanation :
sum = (1 + 4 + 1 + 2) = 8
product = (1 * 4 * 1 * 2) = 8
since, sum == product == 8

Input : 132
Output : Spy Number
Explanation :
sum = (1 + 3 + 2) = 6
product = (1 * 3 * 2) = 6
since, sum == product == 6

C++

// CPP program to check 
// a spy number 
#include <bits/stdc++.h> 
using namespace std; 
  
// Function to  
// check spy number 
bool checkSpy(int num) 
{ 
    int digit, sum = 0,  
        product = 1; 
    while (num > 0)  
    { 
        digit = num % 10; 
          
        // getting sum of digits 
        sum += digit;  
          
        // getting product of digits 
        product *= digit;  
        num = num / 10; 
    } 
      
    if (sum == product) 
        return true; 
    else
        return false; 
} 
  
// Driver code 
int main() 
{ 
    int num = 1412; 
    if (checkSpy(num)) 
        cout << "The number is " 
             << "a Spy number"
             << endl; 
    else
        cout << "The number is "
             << "NOT a spy number"
             << endl; 
    return 0; 
} 

Java

// Java program to  
// check Spy number 
import java.util.*; 
  
class GFG  
{ 
      
    // boolean function to  
    // check Spy number 
    static boolean checkSpy(int input) 
    { 
  
        int digit, sum = 0,  
               product = 1; 
        while (input > 0) 
        { 
            digit = input % 10; 
              
            // getting the 
            // sum of digits 
            sum += digit;  
              
            // getting the product 
            // of digits 
            product *= digit;  
            input = input / 10; 
        } 
          
        // Comparing the  
        // sum and product 
        if (sum == product) 
            return true; 
        else
            return false; 
    } 
      
    // Driver code 
    public static void main(String args[]) 
    { 
        int input = 1412; 
        if (checkSpy(input)) 
            System.out.println("The number is "+ 
                                "a Spy number"); 
        else
            System.out.println("The number is "+ 
                            "NOT a Spy number"); 
    } 
} 

Python3

# Python program to check 
# Spy number 
  
# Function to check 
# Spy number 
def checkSpy(num): 
    sums = 0
    product = 1
    while num>0: 
        digit = num % 10
          
        # getting the  
        # sum of digits 
        sums = sums + digit 
          
        # getting the product 
        # of digits 
        product = product * digit 
        num = num // 10
          
    if sums == product: 
        return True
    else: 
        return False
  
# Driver Code 
num = 1412
if (checkSpy(num)): 
    print("The number is a Spy Number") 
else: 
    print("The number is NOT a spy number") 

C#

// C# program to check  
// Spy number 
using System; 
  
class GFG  
{ 
  
    // boolean function to  
    // check Spy number 
    static bool checkSpy(int input) 
    { 
  
        int digit, sum = 0,  
               product = 1; 
        while (input > 0)  
        { 
            digit = input % 10; 
  
            // getting the sum 
            // of digits 
            sum += digit; 
  
            // getting the product 
            // of digits 
            product *= digit; 
            input = input / 10; 
        } 
  
        // Comparing the sum 
        // and product 
        if (sum == product) 
            return true; 
        else
            return false; 
    } 
  
    // Driver code 
    public static void Main() 
    { 
        int input = 1412; 
        if (checkSpy(input)) 
            Console.WriteLine("The number is " + 
                                "a Spy number"); 
        else
            Console.WriteLine("The number is " + 
                            "NOT a Spy number"); 
    } 
} 
  
// This code is Contributed by vt_m. 

PHP

<?php 
// PHP program to check  
// a spy number 
  
// Function to check  
// spy number 
function checkSpy($num) 
{ 
    $digit; $sum = 0;  
    $product = 1; 
    while ($num > 0)  
    { 
        $digit = $num % 10; 
          
        // getting sum  
        // of digits 
        $sum += $digit;  
          
        // getting product 
        // of digits 
        $product *= $digit;  
        $num = $num / 10; 
    } 
      
    if ($sum == $product) 
        return 1; 
    else
        return -1; 
} 
  
// Driver code 
$num = 1412; 
if (checkSpy($num)) 
    echo "The number is a ". 
          "Spy number","\n"; 
      
else
    echo "The number is NOT ".  
          "a spy number","\n"; 
  
// This code is contributed by ajit. 
?> 

Javascript

<script> 
  
// Javascript program to check  
// a spy number  
  
// Function to  
// check spy number  
function checkSpy(num)  
{  
    let digit, sum = 0,  
        product = 1;  
    while (num > 0)  
    {  
        digit = num % 10;  
          
        // getting sum of digits  
        sum += digit;  
          
        // getting product of digits  
        product *= digit;  
        num = Math.floor(num / 10);  
    }  
      
    if (sum == product)  
        return true;  
    else
        return false;  
}  
  
// Driver code  
  
    let num = 1412;  
    if (checkSpy(num))  
        document.write("The number is "
            + "a Spy number"
            + "<br>");  
    else
        document.write("The number is "
            + "NOT a spy number"
            + "<br>");  
      
  
// This code is contributed by Mayank Tyagi 
  
</script> 

Output

The number is a Spy number

Time Complexity: O(log₁₀n)
Auxiliary Space: O(1)

GeeksforGeeks

Improve

Find sum of product of number in given series

Spy Number (Sum and Products of Digits are same)

C++

Java

Python3

C#

PHP

Javascript

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