585132 has 12 divisors (see below), whose sum is σ = 1365336. Its totient is φ = 195040.

The previous prime is 585131. The next prime is 585149. The reversal of 585132 is 231585.

It is a tau number, because it is divible by the number of its divisors (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 585132.

It is not an unprimeable number, because it can be changed into a prime (585131) 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 3 ways as a sum of consecutive naturals, for example, 24369 + ... + 24392.

It is an arithmetic number, because the mean of its divisors is an integer number (113778).

2⁵⁸⁵¹³² is an apocalyptic number.

It is an amenable number.

585132 is an abundant number, since it is smaller than the sum of its proper divisors (780204).

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

585132 is a wasteful number, since it uses less digits than its factorization.

585132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48768 (or 48766 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 585132 is about 764.9392132712. The cubic root of 585132 is about 83.6407560562.

It can be divided in two parts, 585 and 132, that added together give a palindrome (717).

The spelling of 585132 in words is "five hundred eighty-five thousand, one hundred thirty-two".