329007 has 8 divisors (see below), whose sum is σ = 501376. Its totient is φ = 187992.

The previous prime is 328981. The next prime is 329009. The reversal of 329007 is 700923.

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

It is not a de Polignac number, because 329007 - 2¹⁰ = 327983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 15667 = 329007 / (3 + 2 + 9 + 0 + 0 + 7).

It is a Duffinian number.

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 329007.

It is not an unprimeable number, because it can be changed into a prime (329009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7813 + ... + 7854.

It is an arithmetic number, because the mean of its divisors is an integer number (62672).

2³²⁹⁰⁰⁷ is an apocalyptic number.

329007 is a deficient number, since it is larger than the sum of its proper divisors (172369).

329007 is a wasteful number, since it uses less digits than its factorization.

329007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15677.

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 329007 is about 573.5913179259. The cubic root of 329007 is about 69.0348490209.

The spelling of 329007 in words is "three hundred twenty-nine thousand, seven".