82533984 has 96 divisors (see below), whose sum is σ = 239156064. Its totient is φ = 24760320.

The previous prime is 82533977. The next prime is 82534027. The reversal of 82533984 is 48933528.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50362 + ... + 51974.

It is an arithmetic number, because the mean of its divisors is an integer number (2491209).

Almost surely, 2^82533984 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 82533984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119578032).

82533984 is an abundant number, since it is smaller than the sum of its proper divisors (156622080).

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

82533984 is a wasteful number, since it uses less digits than its factorization.

82533984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1672 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 82533984 is about 9084.8216273078. The cubic root of 82533984 is about 435.3891510350.

The spelling of 82533984 in words is "eighty-two million, five hundred thirty-three thousand, nine hundred eighty-four".