83330900 has 18 divisors (see below), whose sum is σ = 180828270. Its totient is φ = 33332320.

The previous prime is 83330899. The next prime is 83330911. The reversal of 83330900 is 903338.

It can be written as a sum of positive squares in 3 ways, for example, as 13808656 + 69522244 = 3716^2 + 8338^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 83330900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 416555 + ... + 416754.

It is an arithmetic number, because the mean of its divisors is an integer number (10046015).

Almost surely, 2^83330900 is an apocalyptic number.

It is an amenable number.

83330900 is an abundant number, since it is smaller than the sum of its proper divisors (97497370).

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

83330900 is a wasteful number, since it uses less digits than its factorization.

83330900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833323 (or 833316 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 83330900 is about 9128.5760116242. The cubic root of 83330900 is about 436.7859809018.

The spelling of 83330900 in words is "eighty-three million, three hundred thirty thousand, nine hundred".