83398200 has 96 divisors (see below), whose sum is σ = 267505200. Its totient is φ = 21468160.

The previous prime is 83398169. The next prime is 83398267. The reversal of 83398200 is 289338.

It is a congruent number.

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, 15004 + ... + 19796.

Almost surely, 2^83398200 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 83398200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133752600).

83398200 is an abundant number, since it is smaller than the sum of its proper divisors (184107000).

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

83398200 is a wasteful number, since it uses less digits than its factorization.

83398200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4841 (or 4832 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 83398200 is about 9132.2614942850. The cubic root of 83398200 is about 436.9035354805.

The spelling of 83398200 in words is "eighty-three million, three hundred ninety-eight thousand, two hundred".