252876 has 24 divisors (see below), whose sum is σ = 635824. Its totient is φ = 77760.

The previous prime is 252869. The next prime is 252877. The reversal of 252876 is 678252.

252876 = 20² + 21² + ... + 91².

It is a d-powerful number, because it can be written as 2⁹ + 5⁵ + 8³ + 2¹⁷ + 7⁶ + 6 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252876.

It is not an unprimeable number, because it can be changed into a prime (252877) 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, 655 + ... + 966.

2²⁵²⁸⁷⁶ is an apocalyptic number.

252876 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

252876 is an abundant number, since it is smaller than the sum of its proper divisors (382948).

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

252876 is a wasteful number, since it uses less digits than its factorization.

252876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1639 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 252876 is about 502.8677758616. The cubic root of 252876 is about 63.2367008966.

It can be divided in two parts, 252 and 876, that added together give a triangular number (1128 = T₄₇).

The spelling of 252876 in words is "two hundred fifty-two thousand, eight hundred seventy-six".