82313984 has 36 divisors (see below), whose sum is σ = 165576264. Its totient is φ = 40839168.

The previous prime is 82313969. The next prime is 82313999. The reversal of 82313984 is 48931328.

It is an interprime number because it is at equal distance from previous prime (82313969) and next prime (82313999).

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 33899 + ... + 36245.

Almost surely, 2^82313984 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 82313984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82788132).

82313984 is an abundant number, since it is smaller than the sum of its proper divisors (83262280).

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

82313984 is a wasteful number, since it uses less digits than its factorization.

82313984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2486 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 82313984 is about 9072.7054399446. The cubic root of 82313984 is about 435.0019535738.

The spelling of 82313984 in words is "eighty-two million, three hundred thirteen thousand, nine hundred eighty-four".