86292 has 48 divisors (see below), whose sum is σ = 241920. Its totient is φ = 26496.

The previous prime is 86291. The next prime is 86293. The reversal of 86292 is 29268.

It is an interprime number because it is at equal distance from previous prime (86291) and next prime (86293).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 86292.

It is not an unprimeable number, because it can be changed into a prime (86291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1813 + ... + 1859.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁸⁶²⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

86292 is an abundant number, since it is smaller than the sum of its proper divisors (155628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86292 is a wasteful number, since it uses less digits than its factorization.

86292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 69 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 86292 is about 293.7549999574. The cubic root of 86292 is about 44.1899501458.

It can be divided in two parts, 86 and 292, that added together give a triangular number (378 = T₂₇).

The spelling of 86292 in words is "eighty-six thousand, two hundred ninety-two".