82940 has 48 divisors (see below), whose sum is σ = 211680. Its totient is φ = 26880.

The previous prime is 82939. The next prime is 82963. The reversal of 82940 is 4928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2846 + ... + 2874.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

2⁸²⁹⁴⁰ 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 82940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840).

82940 is an abundant number, since it is smaller than the sum of its proper divisors (128740).

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

82940 is a wasteful number, since it uses less digits than its factorization.

82940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 82940 is about 287.9930554718. The cubic root of 82940 is about 43.6101931671.

The spelling of 82940 in words is "eighty-two thousand, nine hundred forty".