83039712 has 144 divisors (see below), whose sum is σ = 257402880. Its totient is φ = 23369472.

The previous prime is 83039707. The next prime is 83039743. The reversal of 83039712 is 21793038.

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, 597339 + ... + 597477.

It is an arithmetic number, because the mean of its divisors is an integer number (1787520).

Almost surely, 2^83039712 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 83039712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128701440).

83039712 is an abundant number, since it is smaller than the sum of its proper divisors (174363168).

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

83039712 is a wasteful number, since it uses less digits than its factorization.

83039712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 83039712 is about 9112.6127976558. The cubic root of 83039712 is about 436.2766249490.

The spelling of 83039712 in words is "eighty-three million, thirty-nine thousand, seven hundred twelve".