172564 has 12 divisors (see below), whose sum is σ = 345184. Its totient is φ = 73944.

The previous prime is 172561. The next prime is 172573. The reversal of 172564 is 465271.

172564 is an admirable number.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3054 + ... + 3109.

2¹⁷²⁵⁶⁴ is an apocalyptic number.

172564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

172564 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

172564 is a wasteful number, since it uses less digits than its factorization.

172564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6174 (or 6172 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 172564 is about 415.4082329468. The cubic root of 172564 is about 55.6736976231.

The spelling of 172564 in words is "one hundred seventy-two thousand, five hundred sixty-four".