329000 has 64 divisors (see below), whose sum is σ = 898560. Its totient is φ = 110400.

The previous prime is 328981. The next prime is 329009. The reversal of 329000 is 923.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6977 + ... + 7023.

It is an arithmetic number, because the mean of its divisors is an integer number (14040).

2³²⁹⁰⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449280).

329000 is an abundant number, since it is smaller than the sum of its proper divisors (569560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

329000 is a wasteful number, since it uses less digits than its factorization.

329000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 329000 is about 573.5852159880. The cubic root of 329000 is about 69.0343594190.

Adding to 329000 its reverse (923), we get a palindrome (329923).

The spelling of 329000 in words is "three hundred twenty-nine thousand".