82984 has 32 divisors (see below), whose sum is σ = 181440. Its totient is φ = 35200.

The previous prime is 82981. The next prime is 82997. The reversal of 82984 is 48928.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (82981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2004 + ... + 2044.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2⁸²⁹⁸⁴ 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 82984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

82984 is an abundant number, since it is smaller than the sum of its proper divisors (98456).

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

82984 is a wasteful number, since it uses less digits than its factorization.

82984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 77 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 82984 is about 288.0694360740. The cubic root of 82984 is about 43.6179035974.

It can be divided in two parts, 8 and 2984, that added together give a palindrome (2992).

The spelling of 82984 in words is "eighty-two thousand, nine hundred eighty-four".