85332 has 24 divisors (see below), whose sum is σ = 214816. Its totient is φ = 26208.

The previous prime is 85331. The next prime is 85333. The reversal of 85332 is 23358.

It is an interprime number because it is at equal distance from previous prime (85331) and next prime (85333).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 85299 and 85308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85331) 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, 118 + ... + 429.

2⁸⁵³³² is an apocalyptic number.

It is an amenable number.

85332 is an abundant number, since it is smaller than the sum of its proper divisors (129484).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107408).

85332 is a wasteful number, since it uses less digits than its factorization.

85332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 565 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 85332 is about 292.1164151499. The cubic root of 85332 is about 44.0254673502.

The spelling of 85332 in words is "eighty-five thousand, three hundred thirty-two".