285732 has 18 divisors (see below), whose sum is σ = 722358. Its totient is φ = 95232.

The previous prime is 285731. The next prime is 285749. The reversal of 285732 is 237582.

It can be written as a sum of positive squares in only one way, i.e., 285156 + 576 = 534^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 285696 and 285705.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 285732.

It is not an unprimeable number, because it can be changed into a prime (285731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3933 + ... + 4004.

It is an arithmetic number, because the mean of its divisors is an integer number (40131).

2²⁸⁵⁷³² is an apocalyptic number.

It is an amenable number.

285732 is an abundant number, since it is smaller than the sum of its proper divisors (436626).

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

285732 is a wasteful number, since it uses less digits than its factorization.

285732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7947 (or 7942 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 285732 is about 534.5390537650. The cubic root of 285732 is about 65.8647367491.

The spelling of 285732 in words is "two hundred eighty-five thousand, seven hundred thirty-two".