165885957 has 12 divisors (see below), whose sum is σ = 240939244. Its totient is φ = 109978560.

The previous prime is 165885947. The next prime is 165885989. The reversal of 165885957 is 759588561.

165885957 is a `hidden beast` number, since 1 + 6 + 588 + 5 + 9 + 57 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57017601 + 108868356 = 7551^2 + 10434^2 .

It is not a de Polignac number, because 165885957 - 2⁶ = 165885893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165885917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49288 + ... + 52545.

Almost surely, 2^165885957 is an apocalyptic number.

It is an amenable number.

165885957 is a deficient number, since it is larger than the sum of its proper divisors (75053287).

165885957 is a wasteful number, since it uses less digits than its factorization.

165885957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102020 (or 102017 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 54.

The square root of 165885957 is about 12879.6722396185. The cubic root of 165885957 is about 549.4605807728.

The spelling of 165885957 in words is "one hundred sixty-five million, eight hundred eighty-five thousand, nine hundred fifty-seven".