172164 has 12 divisors (see below), whose sum is σ = 401744. Its totient is φ = 57384.

The previous prime is 172157. The next prime is 172169. The reversal of 172164 is 461271.

It is a tau number, because it is divible by the number of its divisors (12).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 172164.

It is not an unprimeable number, because it can be changed into a prime (172169) by changing a digit.

172164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7162 + ... + 7185.

2¹⁷²¹⁶⁴ is an apocalyptic number.

It is an amenable number.

172164 is an abundant number, since it is smaller than the sum of its proper divisors (229580).

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

172164 is a wasteful number, since it uses less digits than its factorization.

172164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14354 (or 14352 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 172164 is about 414.9264995153. The cubic root of 172164 is about 55.6306474929.

The spelling of 172164 in words is "one hundred seventy-two thousand, one hundred sixty-four".