82891900 has 72 divisors (see below), whose sum is σ = 221409440. Its totient is φ = 26231040.

The previous prime is 82891891. The next prime is 82891901. The reversal of 82891900 is 919828.

It is a super-2 number, since 2×82891900² = 13742134171220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 82891900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82891901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4546 + ... + 13654.

Almost surely, 2^82891900 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 82891900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110704720).

82891900 is an abundant number, since it is smaller than the sum of its proper divisors (138517540).

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

82891900 is a wasteful number, since it uses less digits than its factorization.

82891900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9143 (or 9136 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 82891900 is about 9104.4988879125. The cubic root of 82891900 is about 436.0176114425.

The spelling of 82891900 in words is "eighty-two million, eight hundred ninety-one thousand, nine hundred".