113957 has 2 divisors, whose sum is σ = 113958. Its totient is φ = 113956.

The previous prime is 113947. The next prime is 113963. The reversal of 113957 is 759311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111556 + 2401 = 334^2 + 49^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-113957 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56978 + 56979.

It is an arithmetic number, because the mean of its divisors is an integer number (56979).

2¹¹³⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

113957 is a deficient number, since it is larger than the sum of its proper divisors (1).

113957 is an equidigital number, since it uses as much as digits as its factorization.

113957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 945, while the sum is 26.

The square root of 113957 is about 337.5751768125. The cubic root of 113957 is about 48.4819786377.

The spelling of 113957 in words is "one hundred thirteen thousand, nine hundred fifty-seven".