84992 has 22 divisors (see below), whose sum is σ = 171948. Its totient is φ = 41984.

The previous prime is 84991. The next prime is 85009. The reversal of 84992 is 29948.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84992.

It is not an unprimeable number, because it can be changed into a prime (84991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 983 + ... + 1065.

2⁸⁴⁹⁹² 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 84992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85974).

84992 is an abundant number, since it is smaller than the sum of its proper divisors (86956).

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

84992 is an equidigital number, since it uses as much as digits as its factorization.

84992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 85 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The square root of 84992 is about 291.5338745326. The cubic root of 84992 is about 43.9669172808.

The spelling of 84992 in words is "eighty-four thousand, nine hundred ninety-two".