82582304 has 48 divisors (see below), whose sum is σ = 186556608. Its totient is φ = 35250432.

The previous prime is 82582267. The next prime is 82582307. The reversal of 82582304 is 40328528.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (82582307) 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 7 ways as a sum of consecutive naturals, for example, 70427 + ... + 71589.

It is an arithmetic number, because the mean of its divisors is an integer number (3886596).

Almost surely, 2^82582304 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 82582304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93278304).

82582304 is an abundant number, since it is smaller than the sum of its proper divisors (103974304).

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

82582304 is a wasteful number, since it uses less digits than its factorization.

82582304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 82582304 is about 9087.4806189615. The cubic root of 82582304 is about 435.4741014941.

The spelling of 82582304 in words is "eighty-two million, five hundred eighty-two thousand, three hundred four".