161005164 has 48 divisors (see below), whose sum is σ = 418723200. Its totient is φ = 47851776.

The previous prime is 161005153. The next prime is 161005177. The reversal of 161005164 is 461500161.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16894 + ... + 24645.

It is an arithmetic number, because the mean of its divisors is an integer number (8723400).

Almost surely, 2^161005164 is an apocalyptic number.

It is an amenable number.

161005164 is an abundant number, since it is smaller than the sum of its proper divisors (257718036).

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

161005164 is a wasteful number, since it uses less digits than its factorization.

161005164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41582 (or 41580 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 161005164 is about 12688.7810289247. The cubic root of 161005164 is about 544.0179987917.

It can be divided in two parts, 1610051 and 64, that added together give a triangular number (1610115 = T₁₇₉₄).

The spelling of 161005164 in words is "one hundred sixty-one million, five thousand, one hundred sixty-four".