90892 has 12 divisors (see below), whose sum is σ = 164416. Its totient is φ = 43920.

The previous prime is 90887. The next prime is 90901. The reversal of 90892 is 29809.

It is a happy number.

It is a super-2 number, since 2×90892² = 16522711328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90892.

It is an unprimeable number.

90892 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 243 + ... + 490.

2⁹⁰⁸⁹² is an apocalyptic number.

It is an amenable number.

90892 is a deficient number, since it is larger than the sum of its proper divisors (73524).

90892 is a wasteful number, since it uses less digits than its factorization.

90892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 90892 is about 301.4830011792. The cubic root of 90892 is about 44.9616133546.

It can be divided in two parts, 908 and 92, that added together give a cube (1000 = 10³).

The spelling of 90892 in words is "ninety thousand, eight hundred ninety-two".