83513800 has 48 divisors (see below), whose sum is σ = 195188400. Its totient is φ = 33230400.

The previous prime is 83513791. The next prime is 83513813. The reversal of 83513800 is 831538.

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, 41211 + ... + 43189.

It is an arithmetic number, because the mean of its divisors is an integer number (4066425).

Almost surely, 2^83513800 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 83513800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97594200).

83513800 is an abundant number, since it is smaller than the sum of its proper divisors (111674600).

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

83513800 is a wasteful number, since it uses less digits than its factorization.

83513800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 83513800 is about 9138.5885124564. The cubic root of 83513800 is about 437.1053093430.

The spelling of 83513800 in words is "eighty-three million, five hundred thirteen thousand, eight hundred".