252837 has 12 divisors (see below), whose sum is σ = 393484. Its totient is φ = 155520.

The previous prime is 252829. The next prime is 252869. The reversal of 252837 is 738252.

It can be written as a sum of positive squares in 2 ways, for example, as 93636 + 159201 = 306^2 + 399^2 .

It is not a de Polignac number, because 252837 - 2³ = 252829 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252837.

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 252837.

It is not an unprimeable number, because it can be changed into a prime (252817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 964 + ... + 1197.

2²⁵²⁸³⁷ is an apocalyptic number.

It is an amenable number.

252837 is a deficient number, since it is larger than the sum of its proper divisors (140647).

252837 is a wasteful number, since it uses less digits than its factorization.

252837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2177 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 252837 is about 502.8289967772. The cubic root of 252837 is about 63.2334498195.

It can be divided in two parts, 252 and 837, that added together give a square (1089 = 33²).

The spelling of 252837 in words is "two hundred fifty-two thousand, eight hundred thirty-seven".