32982 has 16 divisors (see below), whose sum is σ = 69120. Its totient is φ = 10472.

The previous prime is 32971. The next prime is 32983. The reversal of 32982 is 28923.

32982 is nontrivially palindromic in base 13.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 3 + 2 + 9² + 8⁵ + 2⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32983) 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, 19 + ... + 257.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

2³²⁹⁸² is an apocalyptic number.

32982 is an abundant number, since it is smaller than the sum of its proper divisors (36138).

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 (34560).

32982 is a wasteful number, since it uses less digits than its factorization.

32982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267.

The product of its digits is 864, while the sum is 24.

The square root of 32982 is about 181.6094711187. The cubic root of 32982 is about 32.0695103587.

The spelling of 32982 in words is "thirty-two thousand, nine hundred eighty-two".