88092 has 18 divisors (see below), whose sum is σ = 222768. Its totient is φ = 29352.

The previous prime is 88079. The next prime is 88093. The reversal of 88092 is 29088.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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 88092.

It is not an unprimeable number, because it can be changed into a prime (88093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1188 + ... + 1259.

It is an arithmetic number, because the mean of its divisors is an integer number (12376).

2⁸⁸⁰⁹² is an apocalyptic number.

It is an amenable number.

88092 is an abundant number, since it is smaller than the sum of its proper divisors (134676).

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

88092 is a wasteful number, since it uses less digits than its factorization.

88092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 88092 is about 296.8029649448. The cubic root of 88092 is about 44.4950968801.

It can be divided in two parts, 8 and 8092, that added together give a square (8100 = 90²).

The spelling of 88092 in words is "eighty-eight thousand, ninety-two".