83304564 has 48 divisors (see below), whose sum is σ = 229318656. Its totient is φ = 23032800.

The previous prime is 83304547. The next prime is 83304577. The reversal of 83304564 is 46540338.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 13392 + ... + 18599.

It is an arithmetic number, because the mean of its divisors is an integer number (4777472).

Almost surely, 2^83304564 is an apocalyptic number.

83304564 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

83304564 is an abundant number, since it is smaller than the sum of its proper divisors (146014092).

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

83304564 is a wasteful number, since it uses less digits than its factorization.

83304564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32036 (or 32034 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 83304564 is about 9127.1333944454. The cubic root of 83304564 is about 436.7399619276.

The spelling of 83304564 in words is "eighty-three million, three hundred four thousand, five hundred sixty-four".