85992 has 16 divisors (see below), whose sum is σ = 215040. Its totient is φ = 28656.

The previous prime is 85991. The next prime is 85999. The reversal of 85992 is 29958.

It is not an unprimeable number, because it can be changed into a prime (85991) 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, 1768 + ... + 1815.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

2⁸⁵⁹⁹² is an apocalyptic number.

It is an amenable number.

85992 is an abundant number, since it is smaller than the sum of its proper divisors (129048).

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 (107520).

85992 is a wasteful number, since it uses less digits than its factorization.

85992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 3588 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 85992 is about 293.2439257683. The cubic root of 85992 is about 44.1386808983.

The spelling of 85992 in words is "eighty-five thousand, nine hundred ninety-two".