165518164 has 24 divisors (see below), whose sum is σ = 331490880. Its totient is φ = 70838976.

The previous prime is 165518159. The next prime is 165518173. The reversal of 165518164 is 461815561.

It is a super-2 number, since 2×165518164² = 54792525227861792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18999 + ... + 26305.

It is an arithmetic number, because the mean of its divisors is an integer number (13812120).

Almost surely, 2^165518164 is an apocalyptic number.

165518164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

165518164 is an abundant number, since it is smaller than the sum of its proper divisors (165972716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165518164 is a wasteful number, since it uses less digits than its factorization.

165518164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8127 (or 8125 counting only the distinct ones).

The product of its digits is 28800, while the sum is 37.

The square root of 165518164 is about 12865.3862748073. The cubic root of 165518164 is about 549.0542026084.

The spelling of 165518164 in words is "one hundred sixty-five million, five hundred eighteen thousand, one hundred sixty-four".