83073300 has 72 divisors (see below), whose sum is σ = 244005216. Its totient is φ = 21816960.

The previous prime is 83073281. The next prime is 83073307. The reversal of 83073300 is 337038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83073307) by changing a digit.

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, 18034 + ... + 22166.

Almost surely, 2^83073300 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 83073300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122002608).

83073300 is an abundant number, since it is smaller than the sum of its proper divisors (160931916).

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

83073300 is a wasteful number, since it uses less digits than its factorization.

83073300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4217 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 83073300 is about 9114.4555514852. The cubic root of 83073300 is about 436.3354389134.

The spelling of 83073300 in words is "eighty-three million, seventy-three thousand, three hundred".