82635300 has 216 divisors, whose sum is σ = 299793312. Its totient is φ = 18816000.

The previous prime is 82635269. The next prime is 82635323. The reversal of 82635300 is 353628.

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 71 ways as a sum of consecutive naturals, for example, 168055 + ... + 168545.

It is an arithmetic number, because the mean of its divisors is an integer number (1387932).

Almost surely, 2^82635300 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 82635300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149896656).

82635300 is an abundant number, since it is smaller than the sum of its proper divisors (217158012).

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

82635300 is a wasteful number, since it uses less digits than its factorization.

82635300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 82635300 is about 9090.3960309769. The cubic root of 82635300 is about 435.5672346449.

Adding to 82635300 its reverse (353628), we get a palindrome (82988928).

The spelling of 82635300 in words is "eighty-two million, six hundred thirty-five thousand, three hundred".