585252 has 24 divisors (see below), whose sum is σ = 1517600. Its totient is φ = 195048.

The previous prime is 585251. The next prime is 585269. The reversal of 585252 is 252585.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (585251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2602 + ... + 2817.

2⁵⁸⁵²⁵² is an apocalyptic number.

It is an amenable number.

585252 is an abundant number, since it is smaller than the sum of its proper divisors (932348).

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

585252 is a wasteful number, since it uses less digits than its factorization.

585252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5432 (or 5424 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 585252 is about 765.0176468553. The cubic root of 585252 is about 83.6464734013.

Subtracting from 585252 its sum of digits (27), we obtain a square (585225 = 765²).

The spelling of 585252 in words is "five hundred eighty-five thousand, two hundred fifty-two".