86392 has 8 divisors (see below), whose sum is σ = 162000. Its totient is φ = 43192.

The previous prime is 86389. The next prime is 86399. The reversal of 86392 is 29368.

86392 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (8).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 86392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5392 + ... + 5407.

It is an arithmetic number, because the mean of its divisors is an integer number (20250).

2⁸⁶³⁹² is an apocalyptic number.

It is an amenable number.

86392 is a deficient number, since it is larger than the sum of its proper divisors (75608).

86392 is a wasteful number, since it uses less digits than its factorization.

86392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10805 (or 10801 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 86392 is about 293.9251605426. The cubic root of 86392 is about 44.2070134855.

It can be divided in two parts, 8 and 6392, that added together give a square (6400 = 80²).

The spelling of 86392 in words is "eighty-six thousand, three hundred ninety-two".