85232 has 20 divisors (see below), whose sum is σ = 188976. Its totient is φ = 36480.

The previous prime is 85229. The next prime is 85237. The reversal of 85232 is 23258.

It is a d-powerful number, because it can be written as 8 + 5 + 2¹⁵ + 3⁹ + 2¹⁵ .

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85232.

It is not an unprimeable number, because it can be changed into a prime (85237) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 269 + ... + 492.

2⁸⁵²³² is an apocalyptic number.

It is an amenable number.

85232 is an abundant number, since it is smaller than the sum of its proper divisors (103744).

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 (94488).

85232 is a wasteful number, since it uses less digits than its factorization.

85232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 770 counting only the distinct ones).

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

The square root of 85232 is about 291.9452003373. The cubic root of 85232 is about 44.0082629110.

The spelling of 85232 in words is "eighty-five thousand, two hundred thirty-two".