82397181321 has 72 divisors (see below), whose sum is σ = 153909659904. Its totient is φ = 42060150720.

The previous prime is 82397181313. The next prime is 82397181331. The reversal of 82397181321 is 12318179328.

82397181321 is a `hidden beast` number, since 82 + 397 + 181 + 3 + 2 + 1 = 666.

It is not a de Polignac number, because 82397181321 - 2³ = 82397181313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82397181301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54091 + ... + 409536.

Almost surely, 2^82397181321 is an apocalyptic number.

It is an amenable number.

82397181321 is a deficient number, since it is larger than the sum of its proper divisors (71512478583).

82397181321 is a wasteful number, since it uses less digits than its factorization.

82397181321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463691 (or 463681 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 82397181321 in words is "eighty-two billion, three hundred ninety-seven million, one hundred eighty-one thousand, three hundred twenty-one".