82321364889 has 27 divisors (see below), whose sum is σ = 121032863679. Its totient is φ = 53917442640.

The previous prime is 82321364863. The next prime is 82321364899. The reversal of 82321364889 is 98846312328.

The square root of 82321364889 is 286917.

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

82321364889 is a `hidden beast` number, since 8 + 23 + 2 + 136 + 488 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63260801289 + 19060563600 = 251517^2 + 138060^2 .

It is not a de Polignac number, because 82321364889 - 2¹¹ = 82321362841 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82321364819) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50783499 + ... + 50785119.

Almost surely, 2^82321364889 is an apocalyptic number.

82321364889 is the 286917-th square number.

82321364889 is the 143459-th centered octagonal number.

It is an amenable number.

82321364889 is a deficient number, since it is larger than the sum of its proper divisors (38711498790).

82321364889 is an frugal number, since it uses more digits than its factorization.

82321364889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366 (or 1683 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 82321364889 in words is "eighty-two billion, three hundred twenty-one million, three hundred sixty-four thousand, eight hundred eighty-nine".