329009 has 2 divisors, whose sum is σ = 329010. Its totient is φ = 329008.

The previous prime is 328981. The next prime is 329027. The reversal of 329009 is 900923.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 255025 + 73984 = 505^2 + 272^2 .

It is a cyclic number.

It is not a de Polignac number, because 329009 - 2⁸ = 328753 is a prime.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 329009.

It is not a weakly prime, because it can be changed into another prime (329059) 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 as a sum of consecutive naturals, namely, 164504 + 164505.

It is an arithmetic number, because the mean of its divisors is an integer number (164505).

2³²⁹⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

329009 is a deficient number, since it is larger than the sum of its proper divisors (1).

329009 is an equidigital number, since it uses as much as digits as its factorization.

329009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 329009 is about 573.5930613248. The cubic root of 329009 is about 69.0349889059.

The spelling of 329009 in words is "three hundred twenty-nine thousand, nine".