83100832 has 48 divisors (see below), whose sum is σ = 177811200. Its totient is φ = 38085120.

The previous prime is 83100827. The next prime is 83100833. The reversal of 83100832 is 23800138.

It is a junction number, because it is equal to n+sod(n) for n = 83100797 and 83100806.

It is not an unprimeable number, because it can be changed into a prime (83100833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16644 + ... + 21052.

It is an arithmetic number, because the mean of its divisors is an integer number (3704400).

Almost surely, 2^83100832 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 83100832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88905600).

83100832 is an abundant number, since it is smaller than the sum of its proper divisors (94710368).

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

83100832 is a wasteful number, since it uses less digits than its factorization.

83100832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4469 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 83100832 is about 9115.9657743982. The cubic root of 83100832 is about 436.3836367516.

The spelling of 83100832 in words is "eighty-three million, one hundred thousand, eight hundred thirty-two".