82133100 has 108 divisors (see below), whose sum is σ = 294241584. Its totient is φ = 18771840.

The previous prime is 82133063. The next prime is 82133113. The reversal of 82133100 is 133128.

It is a super-2 number, since 2×82133100² = 13491692231220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 219 + ... + 12818.

Almost surely, 2^82133100 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 82133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147120792).

82133100 is an abundant number, since it is smaller than the sum of its proper divisors (212108484).

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

82133100 is a wasteful number, since it uses less digits than its factorization.

82133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13064 (or 13054 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 82133100 is about 9062.7313763567. The cubic root of 82133100 is about 434.6830826830.

Adding to 82133100 its reverse (133128), we get a palindrome (82266228).

The spelling of 82133100 in words is "eighty-two million, one hundred thirty-three thousand, one hundred".