252584 has 8 divisors (see below), whose sum is σ = 473610. Its totient is φ = 126288.

The previous prime is 252583. The next prime is 252589. The reversal of 252584 is 485252.

It can be written as a sum of positive squares in only one way, i.e., 220900 + 31684 = 470^2 + 178^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252584.

It is not an unprimeable number, because it can be changed into a prime (252583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15779 + ... + 15794.

2²⁵²⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

252584 is a deficient number, since it is larger than the sum of its proper divisors (221026).

252584 is a wasteful number, since it uses less digits than its factorization.

252584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31579 (or 31575 counting only the distinct ones).

The product of its digits is 3200, while the sum is 26.

The square root of 252584 is about 502.5773572297. The cubic root of 252584 is about 63.2123513754.

The spelling of 252584 in words is "two hundred fifty-two thousand, five hundred eighty-four".