82992 has 80 divisors (see below), whose sum is σ = 277760. Its totient is φ = 20736.

The previous prime is 82981. The next prime is 82997. The reversal of 82992 is 29928.

82992 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is not an unprimeable number, because it can be changed into a prime (82997) by changing a digit.

82992 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 (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4359 + ... + 4377.

It is an arithmetic number, because the mean of its divisors is an integer number (3472).

2⁸²⁹⁹² 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 82992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138880).

82992 is an abundant number, since it is smaller than the sum of its proper divisors (194768).

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

82992 is a wasteful number, since it uses less digits than its factorization.

82992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 44 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 82992 is about 288.0833212805. The cubic root of 82992 is about 43.6193052010.

The spelling of 82992 in words is "eighty-two thousand, nine hundred ninety-two".