83338208 has 48 divisors (see below), whose sum is σ = 171506160. Its totient is φ = 39822336.

The previous prime is 83338201. The next prime is 83338243. The reversal of 83338208 is 80283338.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83338201) 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, 69260 + ... + 70452.

It is an arithmetic number, because the mean of its divisors is an integer number (3573045).

Almost surely, 2^83338208 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 83338208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85753080).

83338208 is an abundant number, since it is smaller than the sum of its proper divisors (88167952).

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

83338208 is a wasteful number, since it uses less digits than its factorization.

83338208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 83338208 is about 9128.9762843377. The cubic root of 83338208 is about 436.7987490292.

The spelling of 83338208 in words is "eighty-three million, three hundred thirty-eight thousand, two hundred eight".