82893100 has 36 divisors (see below), whose sum is σ = 180457200. Its totient is φ = 33050560.

The previous prime is 82893091. The next prime is 82893131. The reversal of 82893100 is 139828.

It is a super-2 number, since 2×82893100² = 13742532055220000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 34746 + ... + 37054.

It is an arithmetic number, because the mean of its divisors is an integer number (5012700).

Almost surely, 2^82893100 is an apocalyptic number.

It is an amenable number.

82893100 is an abundant number, since it is smaller than the sum of its proper divisors (97564100).

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

82893100 is a wasteful number, since it uses less digits than its factorization.

82893100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 82893100 is about 9104.5647891593. The cubic root of 82893100 is about 436.0197154623.

The spelling of 82893100 in words is "eighty-two million, eight hundred ninety-three thousand, one hundred".