252992 has 28 divisors (see below), whose sum is σ = 518160. Its totient is φ = 122496.

The previous prime is 252983. The next prime is 253003. The reversal of 252992 is 299252.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252992.

It is an unprimeable number.

252992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3743 + ... + 3809.

2²⁵²⁹⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259080).

252992 is an abundant number, since it is smaller than the sum of its proper divisors (265168).

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

252992 is an equidigital number, since it uses as much as digits as its factorization.

252992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its digits is 3240, while the sum is 29.

The square root of 252992 is about 502.9831011078. The cubic root of 252992 is about 63.2463687917.

The spelling of 252992 in words is "two hundred fifty-two thousand, nine hundred ninety-two".