82984104 has 96 divisors (see below), whose sum is σ = 258336000. Its totient is φ = 23573376.

The previous prime is 82984091. The next prime is 82984129. The reversal of 82984104 is 40148928.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115057 + ... + 115775.

It is an arithmetic number, because the mean of its divisors is an integer number (2691000).

Almost surely, 2^82984104 is an apocalyptic number.

82984104 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82984104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129168000).

82984104 is an abundant number, since it is smaller than the sum of its proper divisors (175351896).

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

82984104 is a wasteful number, since it uses less digits than its factorization.

82984104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 82984104 is about 9109.5611310315. The cubic root of 82984104 is about 436.1792181887.

The spelling of 82984104 in words is "eighty-two million, nine hundred eighty-four thousand, one hundred four".