252312 has 16 divisors (see below), whose sum is σ = 630840. Its totient is φ = 84096.

The previous prime is 252293. The next prime is 252313. The reversal of 252312 is 213252.

252312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252312² = 127322690688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 252291 and 252300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252313) by changing a digit.

252312 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, 5233 + ... + 5280.

2²⁵²³¹² is an apocalyptic number.

It is an amenable number.

252312 is an abundant number, since it is smaller than the sum of its proper divisors (378528).

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

252312 is a wasteful number, since it uses less digits than its factorization.

252312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10522 (or 10518 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 252312 is about 502.3066792309. The cubic root of 252312 is about 63.1896527417.

Adding to 252312 its reverse (213252), we get a palindrome (465564).

Subtracting from 252312 its reverse (213252), we obtain a triangular number (39060 = T₂₇₉).

It can be divided in two parts, 2523 and 12, that multiplied together give a square (30276 = 174²).

The spelling of 252312 in words is "two hundred fifty-two thousand, three hundred twelve".