82319329 has 9 divisors (see below), whose sum is σ = 84679569. Its totient is φ = 80023860.

The previous prime is 82319261. The next prime is 82319333. The reversal of 82319329 is 92391328.

The square root of 82319329 is 9073.

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

It is not a de Polignac number, because 82319329 - 2¹³ = 82311137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82319359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 390034 + ... + 390244.

It is an arithmetic number, because the mean of its divisors is an integer number (9408841).

Almost surely, 2^82319329 is an apocalyptic number.

82319329 is the 9073-rd square number.

82319329 is the 4537-th centered octagonal number.

It is an amenable number.

82319329 is a deficient number, since it is larger than the sum of its proper divisors (2360240).

82319329 is an frugal number, since it uses more digits than its factorization.

82319329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 254 counting only the distinct ones).

The product of its digits is 23328, while the sum is 37.

The cubic root of 82319329 is about 435.0113688842.

The spelling of 82319329 in words is "eighty-two million, three hundred nineteen thousand, three hundred twenty-nine".