86792 has 16 divisors (see below), whose sum is σ = 171600. Its totient is φ = 41040.

The previous prime is 86783. The next prime is 86813. The reversal of 86792 is 29768.

It is an unprimeable number.

86792 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 3 ways as a sum of consecutive naturals, for example, 134 + ... + 437.

It is an arithmetic number, because the mean of its divisors is an integer number (10725).

2⁸⁶⁷⁹² is an apocalyptic number.

It is an amenable number.

86792 is a deficient number, since it is larger than the sum of its proper divisors (84808).

86792 is a wasteful number, since it uses less digits than its factorization.

86792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 592 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 86792 is about 294.6048200556. The cubic root of 86792 is about 44.2751354743.

It can be divided in two parts, 867 and 92, that added together give a palindrome (959).

The spelling of 86792 in words is "eighty-six thousand, seven hundred ninety-two".