82321400322 has 54 divisors (see below), whose sum is σ = 207505008009. Its totient is φ = 23517965520.

The previous prime is 82321400309. The next prime is 82321400341. The reversal of 82321400322 is 22300412328.

82321400322 is a `hidden beast` number, since 8 + 232 + 1 + 400 + 3 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42344996841 + 39976403481 = 205779^2 + 199941^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=202881.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8516172 + ... + 8525832.

Almost surely, 2^82321400322 is an apocalyptic number.

82321400322 is an abundant number, since it is smaller than the sum of its proper divisors (125183607687).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82321400322 is an frugal number, since it uses more digits than its factorization.

82321400322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19344 (or 9673 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Multiplying 82321400322 by its product of nonzero digits (4608), we get a square (379337012683776 = 19476576²).

The spelling of 82321400322 in words is "eighty-two billion, three hundred twenty-one million, four hundred thousand, three hundred twenty-two".