252984 has 32 divisors (see below), whose sum is σ = 645120. Its totient is φ = 82656.

The previous prime is 252983. The next prime is 253003. The reversal of 252984 is 489252.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 252984.

It is not an unprimeable number, because it can be changed into a prime (252983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1929 + ... + 2055.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2²⁵²⁹⁸⁴ is an apocalyptic number.

252984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252984 is an abundant number, since it is smaller than the sum of its proper divisors (392136).

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

252984 is a wasteful number, since it uses less digits than its factorization.

252984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 252984 is about 502.9751484915. The cubic root of 252984 is about 63.2457021352.

The spelling of 252984 in words is "two hundred fifty-two thousand, nine hundred eighty-four".