285032 has 32 divisors (see below), whose sum is σ = 604800. Its totient is φ = 124800.

The previous prime is 285031. The next prime is 285049. The reversal of 285032 is 230582.

It is a d-powerful number, because it can be written as 2⁴ + 8² + 0 + 5⁵ + 3⁹ + 2¹⁸ .

It is a junction number, because it is equal to n+sod(n) for n = 284995 and 285013.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 285032.

It is not an unprimeable number, because it can be changed into a prime (285031) 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, 3569 + ... + 3647.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2²⁸⁵⁰³² is an apocalyptic number.

285032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

285032 is an abundant number, since it is smaller than the sum of its proper divisors (319768).

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

285032 is a wasteful number, since it uses less digits than its factorization.

285032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 285032 is about 533.8838825063. The cubic root of 285032 is about 65.8109065663.

It can be divided in two parts, 2850 and 32, that added together give a palindrome (2882).

The spelling of 285032 in words is "two hundred eighty-five thousand, thirty-two".