83125900 has 72 divisors (see below), whose sum is σ = 211955184. Its totient is φ = 27897600.

The previous prime is 83125897. The next prime is 83125921. The reversal of 83125900 is 952138.

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 23 ways as a sum of consecutive naturals, for example, 11394 + ... + 17206.

It is an arithmetic number, because the mean of its divisors is an integer number (2943822).

Almost surely, 2^83125900 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 83125900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105977592).

83125900 is an abundant number, since it is smaller than the sum of its proper divisors (128829284).

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

83125900 is a wasteful number, since it uses less digits than its factorization.

83125900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5851 (or 5844 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 83125900 is about 9117.3406210364. The cubic root of 83125900 is about 436.4275118247.

The spelling of 83125900 in words is "eighty-three million, one hundred twenty-five thousand, nine hundred".