83209171600 has 45 divisors (see below), whose sum is σ = 199923896233. Its totient is φ = 33281360960.

The previous prime is 83209171589. The next prime is 83209171603. The reversal of 83209171600 is 617190238.

The square root of 83209171600 is 288460.

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., 29955301776 + 53253869824 = 173076^2 + 230768^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83209171600.

It is not an unprimeable number, because it can be changed into a prime (83209171603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5761989 + ... + 5776411.

Almost surely, 2^83209171600 is an apocalyptic number.

83209171600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

83209171600 is the 288460-th square number.

It is an amenable number.

83209171600 is an abundant number, since it is smaller than the sum of its proper divisors (116714724633).

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

83209171600 is an frugal number, since it uses more digits than its factorization.

83209171600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28864 (or 14430 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 83209171600 in words is "eighty-three billion, two hundred nine million, one hundred seventy-one thousand, six hundred".