329001 has 8 divisors (see below), whose sum is σ = 464544. Its totient is φ = 206400.

The previous prime is 328981. The next prime is 329009. The reversal of 329001 is 100923.

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

It is not a de Polignac number, because 329001 - 2¹⁴ = 312617 is a prime.

329001 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 329001.

It is not an unprimeable number, because it can be changed into a prime (329009) 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, 3175 + ... + 3276.

It is an arithmetic number, because the mean of its divisors is an integer number (58068).

2³²⁹⁰⁰¹ is an apocalyptic number.

It is an amenable number.

329001 is a deficient number, since it is larger than the sum of its proper divisors (135543).

329001 is a wasteful number, since it uses less digits than its factorization.

329001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6471.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 329001 is about 573.5860876974. The cubic root of 329001 is about 69.0344293626.

Adding to 329001 its reverse (100923), we get a palindrome (429924).

The spelling of 329001 in words is "three hundred twenty-nine thousand, one".