252765 has 24 divisors (see below), whose sum is σ = 452088. Its totient is φ = 130560.

The previous prime is 252761. The next prime is 252767. The reversal of 252765 is 567252.

It can be written as a sum of positive squares in 4 ways, for example, as 1764 + 251001 = 42^2 + 501^2 .

It is not a de Polignac number, because 252765 - 2² = 252761 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1777 + ... + 1913.

It is an arithmetic number, because the mean of its divisors is an integer number (18837).

2²⁵²⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

252765 is a deficient number, since it is larger than the sum of its proper divisors (199323).

252765 is a wasteful number, since it uses less digits than its factorization.

252765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 186 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 252765 is about 502.7573967631. The cubic root of 252765 is about 63.2274469525.

It can be divided in two parts, 25276 and 5, that added together give a square (25281 = 159²).

The spelling of 252765 in words is "two hundred fifty-two thousand, seven hundred sixty-five".