82365984 has 120 divisors (see below), whose sum is σ = 248204880. Its totient is φ = 26780544.

The previous prime is 82365961. The next prime is 82365989. The reversal of 82365984 is 48956328.

It is not an unprimeable number, because it can be changed into a prime (82365989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 111087 + ... + 111825.

It is an arithmetic number, because the mean of its divisors is an integer number (2068374).

Almost surely, 2^82365984 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 82365984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124102440).

82365984 is an abundant number, since it is smaller than the sum of its proper divisors (165838896).

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

82365984 is a wasteful number, since it uses less digits than its factorization.

82365984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 787 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 82365984 is about 9075.5707258552. The cubic root of 82365984 is about 435.0935351776.

The spelling of 82365984 in words is "eighty-two million, three hundred sixty-five thousand, nine hundred eighty-four".