82338200 has 96 divisors (see below), whose sum is σ = 221295360. Its totient is φ = 27907200.

The previous prime is 82338173. The next prime is 82338253. The reversal of 82338200 is 283328.

It is a self number, because there is not a number n which added to its sum of digits gives 82338200.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 143915 + ... + 144485.

It is an arithmetic number, because the mean of its divisors is an integer number (2305160).

Almost surely, 2^82338200 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 82338200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110647680).

82338200 is an abundant number, since it is smaller than the sum of its proper divisors (138957160).

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

82338200 is a wasteful number, since it uses less digits than its factorization.

82338200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 82338200 is about 9074.0398941155. The cubic root of 82338200 is about 435.0446072193.

The spelling of 82338200 in words is "eighty-two million, three hundred thirty-eight thousand, two hundred".