7937 has 2 divisors, whose sum is σ = 7938. Its totient is φ = 7936.

The previous prime is 7933. The next prime is 7949. The reversal of 7937 is 7397.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7921 + 16 = 89^2 + 4^2 .

7937 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 7937 - 2² = 7933 is a prime.

It is a Chen prime.

It is a plaindrome in base 9.

It is not a weakly prime, because it can be changed into another prime (7933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3968 + 3969.

It is an arithmetic number, because the mean of its divisors is an integer number (3969).

It is a Proth number, since it is equal to 31 ⋅ 2⁸ + 1 and 31 < 2⁸.

2⁷⁹³⁷ is an apocalyptic number.

It is an amenable number.

7937 is a deficient number, since it is larger than the sum of its proper divisors (1).

7937 is an equidigital number, since it uses as much as digits as its factorization.

7937 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1323, while the sum is 26.

The square root of 7937 is about 89.0898422942. The cubic root of 7937 is about 19.9473615814.

The spelling of 7937 in words is "seven thousand, nine hundred thirty-seven".