82082 has 32 divisors (see below), whose sum is σ = 169344. Its totient is φ = 28800.

The previous prime is 82073. The next prime is 82129. The reversal of 82082 is 28028.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable 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, 1982 + ... + 2022.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2⁸²⁰⁸² is an apocalyptic number.

82082 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a pronic number, being equal to 286×287.

82082 is an abundant number, since it is smaller than the sum of its proper divisors (87262).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672).

82082 is a wasteful number, since it uses less digits than its factorization.

82082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74.

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 82082 is about 286.4995636995. The cubic root of 82082 is about 43.4592916381.

The spelling of 82082 in words is "eighty-two thousand, eighty-two".