83806206812329 has 9 divisors (see below), whose sum is σ = 84112393613157. Its totient is φ = 83501130667104.

The previous prime is 83806206812291. The next prime is 83806206812381. The reversal of 83806206812329 is 92321860260838.

It is a happy number.

The square root of 83806206812329 is 9154573.

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

It can be written as a sum of positive squares in 4 ways, for example, as 65757746083225 + 18048460729104 = 8109115^2 + 4248348^2 .

It is not a de Polignac number, because 83806206812329 - 2²⁵ = 83806173257897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83806206816329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2535800197 + ... + 2535833245.

It is an arithmetic number, because the mean of its divisors is an integer number (9345821512573).

Almost surely, 2^{83806206812329} is an apocalyptic number.

83806206812329 is the 9154573-rd square number.

83806206812329 is the 4577287-th centered octagonal number.

It is an amenable number.

83806206812329 is a deficient number, since it is larger than the sum of its proper divisors (306186800828).

83806206812329 is an frugal number, since it uses more digits than its factorization.

83806206812329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66652 (or 33326 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 58.

The spelling of 83806206812329 in words is "eighty-three trillion, eight hundred six billion, two hundred six million, eight hundred twelve thousand, three hundred twenty-nine".