252564 has 24 divisors (see below), whose sum is σ = 635040. Its totient is φ = 77664.

The previous prime is 252559. The next prime is 252583. The reversal of 252564 is 465252.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252564.

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, 654 + ... + 965.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2²⁵²⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

252564 is an abundant number, since it is smaller than the sum of its proper divisors (382476).

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

252564 is a wasteful number, since it uses less digits than its factorization.

252564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1637 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 252564 is about 502.5574594014. The cubic root of 252564 is about 63.2106829135.

The spelling of 252564 in words is "two hundred fifty-two thousand, five hundred sixty-four".