252644 has 18 divisors (see below), whose sum is σ = 514710. Its totient is φ = 108192.

The previous prime is 252641. The next prime is 252667. The reversal of 252644 is 446252.

Added to its reverse (446252) it gives a square (698896 = 836²).

252644 = T₁₇ + T₁₈ + ... + T₁₁₄.

It can be written as a sum of positive squares in only one way, i.e., 240100 + 12544 = 490^2 + 112^2 .

It is not an unprimeable number, because it can be changed into a prime (252641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 449 + ... + 840.

It is an arithmetic number, because the mean of its divisors is an integer number (28595).

2²⁵²⁶⁴⁴ is an apocalyptic number.

It is an amenable number.

252644 is an abundant number, since it is smaller than the sum of its proper divisors (262066).

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

252644 is a wasteful number, since it uses less digits than its factorization.

252644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1298 counting only the distinct ones).

The product of its digits is 1920, while the sum is 23.

The square root of 252644 is about 502.6370459885. The cubic root of 252644 is about 63.2173562330.

Adding to 252644 its reverse (446252), we get a palindrome (698896).

The spelling of 252644 in words is "two hundred fifty-two thousand, six hundred forty-four".