86892 has 24 divisors (see below), whose sum is σ = 218736. Its totient is φ = 26688.

The previous prime is 86869. The next prime is 86923. The reversal of 86892 is 29868.

It is an unprimeable number.

86892 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123 + ... + 434.

It is an arithmetic number, because the mean of its divisors is an integer number (9114).

2⁸⁶⁸⁹² is an apocalyptic number.

It is an amenable number.

86892 is an abundant number, since it is smaller than the sum of its proper divisors (131844).

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 (109368).

86892 is a wasteful number, since it uses less digits than its factorization.

86892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 575 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 86892 is about 294.7744900767. The cubic root of 86892 is about 44.2921332552.

The spelling of 86892 in words is "eighty-six thousand, eight hundred ninety-two".