165112164 has 54 divisors (see below), whose sum is σ = 485513574. Its totient is φ = 47174400.

The previous prime is 165112159. The next prime is 165112183. The reversal of 165112164 is 461211561.

165112164 is a `hidden beast` number, since 1 + 651 + 1 + 2 + 1 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 164096100 + 1016064 = 12810^2 + 1008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 45037 + ... + 48564.

Almost surely, 2^165112164 is an apocalyptic number.

165112164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

165112164 is an abundant number, since it is smaller than the sum of its proper divisors (320401410).

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

165112164 is a wasteful number, since it uses less digits than its factorization.

165112164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93625 (or 93613 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 165112164 is about 12849.5978147178. The cubic root of 165112164 is about 548.6049094846.

The spelling of 165112164 in words is "one hundred sixty-five million, one hundred twelve thousand, one hundred sixty-four".