83707798329 has 135 divisors (see below), whose sum is σ = 139543411293. Its totient is φ = 49995014400.

The previous prime is 83707798327. The next prime is 83707798399. The reversal of 83707798329 is 92389770738.

The square root of 83707798329 is 289323.

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 7723773225 + 75984025104 = 87885^2 + 275652^2 .

It is not a de Polignac number, because 83707798329 - 2¹ = 83707798327 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83707798327) 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 134 ways as a sum of consecutive naturals, for example, 1372258959 + ... + 1372259019.

Almost surely, 2^83707798329 is an apocalyptic number.

83707798329 is the 289323-rd square number.

83707798329 is the 144662-nd centered octagonal number.

It is an amenable number.

83707798329 is a deficient number, since it is larger than the sum of its proper divisors (55835612964).

83707798329 is an equidigital number, since it uses as much as digits as its factorization.

83707798329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 83707798329 in words is "eighty-three billion, seven hundred seven million, seven hundred ninety-eight thousand, three hundred twenty-nine".