83300352 has 52 divisors (see below), whose sum is σ = 222139920. Its totient is φ = 27762688.

The previous prime is 83300341. The next prime is 83300359. The reversal of 83300352 is 25300338.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (83300359) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8899 + ... + 15677.

Almost surely, 2^83300352 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 83300352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111069960).

83300352 is an abundant number, since it is smaller than the sum of its proper divisors (138839568).

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

83300352 is an equidigital number, since it uses as much as digits as its factorization.

83300352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6806 (or 6784 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 83300352 is about 9126.9026509545. The cubic root of 83300352 is about 436.7326010675.

The spelling of 83300352 in words is "eighty-three million, three hundred thousand, three hundred fifty-two".