181164 has 24 divisors (see below), whose sum is σ = 437248. Its totient is φ = 58320.

The previous prime is 181157. The next prime is 181183. The reversal of 181164 is 461181.

181164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 181164.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 181164.

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, 129 + ... + 615.

2¹⁸¹¹⁶⁴ is an apocalyptic number.

It is an amenable number.

181164 is an abundant number, since it is smaller than the sum of its proper divisors (256084).

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

181164 is a wasteful number, since it uses less digits than its factorization.

181164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 523 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 181164 is about 425.6336452866. The cubic root of 181164 is about 56.5836076508.

The spelling of 181164 in words is "one hundred eighty-one thousand, one hundred sixty-four".