2982 has 16 divisors (see below), whose sum is σ = 6912. Its totient is φ = 840.

The previous prime is 2971. The next prime is 2999. The reversal of 2982 is 2892.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2982.

It is an unprimeable number.

2982 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7 + ... + 77.

It is an arithmetic number, because the mean of its divisors is an integer number (432).

2²⁹⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456).

2982 is an abundant number, since it is smaller than the sum of its proper divisors (3930).

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

2982 is a wasteful number, since it uses less digits than its factorization.

2982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83.

The product of its digits is 288, while the sum is 21.

The square root of 2982 is about 54.6076917659. The cubic root of 2982 is about 14.3935928286.

Adding to 2982 its sum of digits (21), we get a palindrome (3003).

It can be divided in two parts, 298 and 2, that added together give a triangular number (300 = T₂₄).

The spelling of 2982 in words is "two thousand, nine hundred eighty-two".