83991304514329 has 3 divisors (see below), whose sum is σ = 83991313679007. Its totient is φ = 83991295349652.

The previous prime is 83991304514297. The next prime is 83991304514347. The reversal of 83991304514329 is 92341540319938.

It is a happy number.

The square root of 83991304514329 is 9164677.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 2530787814025 + 81460516700304 = 1590845^2 + 9025548^2 .

It is not a de Polignac number, because 83991304514329 - 2⁵ = 83991304514297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83991304514129) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4582339 + ... + 13747015.

It is an arithmetic number, because the mean of its divisors is an integer number (27997104559669).

Almost surely, 2^{83991304514329} is an apocalyptic number.

83991304514329 is the 9164677-th square number.

83991304514329 is the 4582339-th centered octagonal number.

It is an amenable number.

83991304514329 is a deficient number, since it is larger than the sum of its proper divisors (9164678).

83991304514329 is an frugal number, since it uses more digits than its factorization.

83991304514329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18329354 (or 9164677 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 61.

The spelling of 83991304514329 in words is "eighty-three trillion, nine hundred ninety-one billion, three hundred four million, five hundred fourteen thousand, three hundred twenty-nine".