8329 has 2 divisors, whose sum is σ = 8330. Its totient is φ = 8328.

The previous prime is 8317. The next prime is 8353. The reversal of 8329 is 9238.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5625 + 2704 = 75^2 + 52^2 .

It is a cyclic number.

It is not a de Polignac number, because 8329 - 2⁵ = 8297 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is not a weakly prime, because it can be changed into another prime (8369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4164 + 4165.

It is an arithmetic number, because the mean of its divisors is an integer number (4165).

It is an amenable number.

8329 is a deficient number, since it is larger than the sum of its proper divisors (1).

8329 is an equidigital number, since it uses as much as digits as its factorization.

8329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 22.

The square root of 8329 is about 91.2633551871. The cubic root of 8329 is about 20.2704918815.

Subtracting 8329 from its reverse (9238), we obtain a palindrome (909).

It can be divided in two parts, 832 and 9, that added together give a square (841 = 29²).

The spelling of 8329 in words is "eight thousand, three hundred twenty-nine".