82319321 has 8 divisors (see below), whose sum is σ = 99613440. Its totient is φ = 66408768.

The previous prime is 82319261. The next prime is 82319333. The reversal of 82319321 is 12391328.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82319321 - 2¹⁸ = 82057177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82313321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345761 + ... + 345998.

It is an arithmetic number, because the mean of its divisors is an integer number (12451680).

Almost surely, 2^82319321 is an apocalyptic number.

It is an amenable number.

82319321 is a deficient number, since it is larger than the sum of its proper divisors (17294119).

82319321 is a wasteful number, since it uses less digits than its factorization.

82319321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691783.

The product of its digits is 2592, while the sum is 29.

The square root of 82319321 is about 9072.9995591315. Note that the first 3 decimals coincide. The cubic root of 82319321 is about 435.0113547923.

The spelling of 82319321 in words is "eighty-two million, three hundred nineteen thousand, three hundred twenty-one".