83759104 has 117 divisors (see below), whose sum is σ = 199360749. Its totient is φ = 35143680.

The previous prime is 83759101. The next prime is 83759111. The reversal of 83759104 is 40195738.

The square root of 83759104 is 9152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12390400 + 71368704 = 3520^2 + 8448^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83759101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6443002 + ... + 6443014.

Almost surely, 2^83759104 is an apocalyptic number.

83759104 is the 9152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83759104

83759104 is an abundant number, since it is smaller than the sum of its proper divisors (115601645).

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

83759104 is a wasteful number, since it uses less digits than its factorization.

83759104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The cubic root of 83759104 is about 437.5328589198.

The spelling of 83759104 in words is "eighty-three million, seven hundred fifty-nine thousand, one hundred four".