82823304 has 64 divisors (see below), whose sum is σ = 216115200. Its totient is φ = 26417664.

The previous prime is 82823297. The next prime is 82823327. The reversal of 82823304 is 40332828.

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, 87924 + ... + 88860.

It is an arithmetic number, because the mean of its divisors is an integer number (3376800).

Almost surely, 2^82823304 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 82823304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108057600).

82823304 is an abundant number, since it is smaller than the sum of its proper divisors (133291896).

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

82823304 is a wasteful number, since it uses less digits than its factorization.

82823304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 82823304 is about 9100.7309596537. The cubic root of 82823304 is about 435.8973048820.

The spelling of 82823304 in words is "eighty-two million, eight hundred twenty-three thousand, three hundred four".