80982 has 24 divisors (see below), whose sum is σ = 191880. Its totient is φ = 24480.

The previous prime is 80963. The next prime is 80989. The reversal of 80982 is 28908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7 + ... + 402.

It is an arithmetic number, because the mean of its divisors is an integer number (7995).

2⁸⁰⁹⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95940).

80982 is an abundant number, since it is smaller than the sum of its proper divisors (110898).

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

80982 is a wasteful number, since it uses less digits than its factorization.

80982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 425 counting only the distinct ones).

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

The square root of 80982 is about 284.5733648815. The cubic root of 80982 is about 43.2642818727.

It can be divided in two parts, 8098 and 2, that added together give a square (8100 = 90²).

The spelling of 80982 in words is "eighty thousand, nine hundred eighty-two".