165957 has 16 divisors (see below), whose sum is σ = 248832. Its totient is φ = 97520.

The previous prime is 165947. The next prime is 165961. The reversal of 165957 is 759561.

165957 is nontrivially palindromic in base 2.

It is a cyclic number.

It is not a de Polignac number, because 165957 - 2⁴ = 165941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1498 + ... + 1604.

It is an arithmetic number, because the mean of its divisors is an integer number (15552).

2¹⁶⁵⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

165957 is a deficient number, since it is larger than the sum of its proper divisors (82875).

165957 is a wasteful number, since it uses less digits than its factorization.

165957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168.

The product of its digits is 9450, while the sum is 33.

The square root of 165957 is about 407.3782026569. The cubic root of 165957 is about 54.9539007658.

The spelling of 165957 in words is "one hundred sixty-five thousand, nine hundred fifty-seven".