85032 has 24 divisors (see below), whose sum is σ = 230490. Its totient is φ = 28320.

The previous prime is 85027. The next prime is 85037. The reversal of 85032 is 23058.

It is an interprime number because it is at equal distance from previous prime (85027) and next prime (85037).

It can be written as a sum of positive squares in only one way, i.e., 54756 + 30276 = 234^2 + 174^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 84996 and 85014.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85032.

It is not an unprimeable number, because it can be changed into a prime (85037) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 519 + ... + 662.

2⁸⁵⁰³² is an apocalyptic number.

It is an amenable number.

85032 is an abundant number, since it is smaller than the sum of its proper divisors (145458).

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

85032 is a wasteful number, since it uses less digits than its factorization.

85032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 85032 is about 291.6024691253. The cubic root of 85032 is about 43.9738136195.

The spelling of 85032 in words is "eighty-five thousand, thirty-two".