82329 has 8 divisors (see below), whose sum is σ = 118272. Its totient is φ = 50640.

The previous prime is 82307. The next prime is 82339. The reversal of 82329 is 92328.

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

It is not a de Polignac number, because 82329 - 2⁸ = 82073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82299 and 82308.

It is not an unprimeable number, because it can be changed into a prime (82339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1017 + ... + 1094.

It is an arithmetic number, because the mean of its divisors is an integer number (14784).

2⁸²³²⁹ is an apocalyptic number.

It is an amenable number.

82329 is a deficient number, since it is larger than the sum of its proper divisors (35943).

82329 is a wasteful number, since it uses less digits than its factorization.

82329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127.

The product of its digits is 864, while the sum is 24.

The square root of 82329 is about 286.9303051265. The cubic root of 82329 is about 43.5028403483.

Subtracting 82329 from its reverse (92328), we obtain a palindrome (9999).

It can be divided in two parts, 8232 and 9, that multiplied together give a cube (74088 = 42³).

The spelling of 82329 in words is "eighty-two thousand, three hundred twenty-nine".