82980 has 36 divisors (see below), whose sum is σ = 252252. Its totient is φ = 22080.

The previous prime is 82963. The next prime is 82981. The reversal of 82980 is 8928.

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 54756 = 168^2 + 234^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (82981) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 51 + ... + 410.

It is an arithmetic number, because the mean of its divisors is an integer number (7007).

2⁸²⁹⁸⁰ 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 82980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126126).

82980 is an abundant number, since it is smaller than the sum of its proper divisors (169272).

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

82980 is a wasteful number, since it uses less digits than its factorization.

82980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 82980 is about 288.0624932198. The cubic root of 82980 is about 43.6172027619.

It can be divided in two parts, 829 and 80, that added together give a palindrome (909).

The spelling of 82980 in words is "eighty-two thousand, nine hundred eighty".