82208504 has 64 divisors (see below), whose sum is σ = 183859200. Its totient is φ = 33715584.

The previous prime is 82208491. The next prime is 82208513. The reversal of 82208504 is 40580228.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 362039 + ... + 362265.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 2^82208504 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 82208504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91929600).

82208504 is an abundant number, since it is smaller than the sum of its proper divisors (101650696).

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

82208504 is a wasteful number, since it uses less digits than its factorization.

82208504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 82208504 is about 9066.8905364518. The cubic root of 82208504 is about 434.8160652759.

The spelling of 82208504 in words is "eighty-two million, two hundred eight thousand, five hundred four".