165436164 has 36 divisors (see below), whose sum is σ = 418594176. Its totient is φ = 55091568.

The previous prime is 165436157. The next prime is 165436207. The reversal of 165436164 is 461634561.

It is a happy number.

165436164 is a `hidden beast` number, since 1 + 65 + 436 + 164 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55537 + ... + 58439.

It is an arithmetic number, because the mean of its divisors is an integer number (11627616).

Almost surely, 2^165436164 is an apocalyptic number.

It is an amenable number.

165436164 is an abundant number, since it is smaller than the sum of its proper divisors (253158012).

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

165436164 is a wasteful number, since it uses less digits than its factorization.

165436164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4491 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 165436164 is about 12862.1990343798. The cubic root of 165436164 is about 548.9635179357.

It can be divided in two parts, 165436 and 164, that added together give a triangular number (165600 = T₅₇₅).

The spelling of 165436164 in words is "one hundred sixty-five million, four hundred thirty-six thousand, one hundred sixty-four".