82892 has 24 divisors (see below), whose sum is σ = 163296. Its totient is φ = 36608.

The previous prime is 82891. The next prime is 82903. The reversal of 82892 is 29828.

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (82891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1538 + ... + 1590.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

2⁸²⁸⁹² is an apocalyptic number.

It is an amenable number.

82892 is a deficient number, since it is larger than the sum of its proper divisors (80404).

82892 is a wasteful number, since it uses less digits than its factorization.

82892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 95 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

The square root of 82892 is about 287.9097080683. The cubic root of 82892 is about 43.6017786778.

It can be divided in two parts, 828 and 92, that multiplied together give a square (76176 = 276²).

The spelling of 82892 in words is "eighty-two thousand, eight hundred ninety-two".