82863955321 has 81 divisors (see below), whose sum is σ = 106763901357. Its totient is φ = 64112401920.

The previous prime is 82863955309. The next prime is 82863955337. The reversal of 82863955321 is 12355936828.

The square root of 82863955321 is 287861.

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 5837724025 + 77026231296 = 76405^2 + 277536^2 .

It is not a de Polignac number, because 82863955321 - 2⁵ = 82863955289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82863955021) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1404473790 + ... + 1404473848.

Almost surely, 2^82863955321 is an apocalyptic number.

82863955321 is the 287861-st square number.

82863955321 is the 143931-st centered octagonal number.

It is an amenable number.

82863955321 is a deficient number, since it is larger than the sum of its proper divisors (23899946036).

82863955321 is an equidigital number, since it uses as much as digits as its factorization.

82863955321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 124 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 52.

The spelling of 82863955321 in words is "eighty-two billion, eight hundred sixty-three million, nine hundred fifty-five thousand, three hundred twenty-one".