115657 has 2 divisors, whose sum is σ = 115658. Its totient is φ = 115656.

The previous prime is 115637. The next prime is 115663. The reversal of 115657 is 756511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84681 + 30976 = 291^2 + 176^2 .

It is a cyclic number.

It is not a de Polignac number, because 115657 - 2¹⁵ = 82889 is a prime.

115657 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (115637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57828 + 57829.

It is an arithmetic number, because the mean of its divisors is an integer number (57829).

2¹¹⁵⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

115657 is a deficient number, since it is larger than the sum of its proper divisors (1).

115657 is an equidigital number, since it uses as much as digits as its factorization.

115657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1050, while the sum is 25.

The square root of 115657 is about 340.0838131990. The cubic root of 115657 is about 48.7218728828.

The spelling of 115657 in words is "one hundred fifteen thousand, six hundred fifty-seven".