252164 has 18 divisors (see below), whose sum is σ = 485982. Its totient is φ = 114400.

The previous prime is 252163. The next prime is 252169. The reversal of 252164 is 461252.

It is a happy number.

252164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 193600 + 58564 = 440^2 + 242^2 .

It is not an unprimeable number, because it can be changed into a prime (252163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 224 + ... + 744.

It is an arithmetic number, because the mean of its divisors is an integer number (26999).

2²⁵²¹⁶⁴ is an apocalyptic number.

It is an amenable number.

252164 is a deficient number, since it is larger than the sum of its proper divisors (233818).

252164 is a wasteful number, since it uses less digits than its factorization.

252164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 534 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 252164 is about 502.1593372626. The cubic root of 252164 is about 63.1772951610.

It can be divided in two parts, 252 and 164, that multiplied together give a triangular number (41328 = T₂₈₇).

The spelling of 252164 in words is "two hundred fifty-two thousand, one hundred sixty-four".