158657 has 2 divisors, whose sum is σ = 158658. Its totient is φ = 158656.

The previous prime is 158647. The next prime is 158663. The reversal of 158657 is 756851.

158657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 152881 + 5776 = 391^2 + 76^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-158657 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 158657.

It is not a weakly prime, because it can be changed into another prime (158617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 79328 + 79329.

It is an arithmetic number, because the mean of its divisors is an integer number (79329).

2¹⁵⁸⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

158657 is a deficient number, since it is larger than the sum of its proper divisors (1).

158657 is an equidigital number, since it uses as much as digits as its factorization.

158657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8400, while the sum is 32.

The square root of 158657 is about 398.3177123855. The cubic root of 158657 is about 54.1360310656.

The spelling of 158657 in words is "one hundred fifty-eight thousand, six hundred fifty-seven".