59982 has 16 divisors (see below), whose sum is σ = 129360. Its totient is φ = 18432.

The previous prime is 59981. The next prime is 59999. The reversal of 59982 is 28995.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59981) 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, 307 + ... + 462.

It is an arithmetic number, because the mean of its divisors is an integer number (8085).

2⁵⁹⁹⁸² is an apocalyptic number.

59982 is an abundant number, since it is smaller than the sum of its proper divisors (69378).

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 (64680).

59982 is a wasteful number, since it uses less digits than its factorization.

59982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787.

The product of its digits is 6480, while the sum is 33.

The square root of 59982 is about 244.9122291761. The cubic root of 59982 is about 39.1447611525.

The spelling of 59982 in words is "fifty-nine thousand, nine hundred eighty-two".