252084 has 24 divisors (see below), whose sum is σ = 672448. Its totient is φ = 72000.

The previous prime is 252079. The next prime is 252101. The reversal of 252084 is 480252.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 252084.

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 252084.

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, 1417 + ... + 1584.

2²⁵²⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

252084 is an abundant number, since it is smaller than the sum of its proper divisors (420364).

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

252084 is a wasteful number, since it uses less digits than its factorization.

252084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 252084 is about 502.0796749521. The cubic root of 252084 is about 63.1706133742.

The spelling of 252084 in words is "two hundred fifty-two thousand, eighty-four".