33329 has 2 divisors, whose sum is σ = 33330. Its totient is φ = 33328.

The previous prime is 33317. The next prime is 33331. The reversal of 33329 is 92333.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30625 + 2704 = 175^2 + 52^2 .

It is an emirp because it is prime and its reverse (92333) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33329 - 2⁸ = 33073 is a prime.

It is a super-2 number, since 2×33329² = 2221644482, which contains 22 as substring.

Together with 33331, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 33329.

It is not a weakly prime, because it can be changed into another prime (33349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16664 + 16665.

It is an arithmetic number, because the mean of its divisors is an integer number (16665).

2³³³²⁹ is an apocalyptic number.

It is an amenable number.

33329 is a deficient number, since it is larger than the sum of its proper divisors (1).

33329 is an equidigital number, since it uses as much as digits as its factorization.

33329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 486, while the sum is 20.

The square root of 33329 is about 182.5623181273. The cubic root of 33329 is about 32.1815848306.

The spelling of 33329 in words is "thirty-three thousand, three hundred twenty-nine".