329084 has 36 divisors (see below), whose sum is σ = 708624. Its totient is φ = 133056.

The previous prime is 329083. The next prime is 329089. The reversal of 329084 is 480923.

It is an Ulam number.

It is a plaindrome in base 15.

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 329084.

It is not an unprimeable number, because it can be changed into a prime (329081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4472 + ... + 4544.

It is an arithmetic number, because the mean of its divisors is an integer number (19684).

2³²⁹⁰⁸⁴ 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 329084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354312).

329084 is an abundant number, since it is smaller than the sum of its proper divisors (379540).

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

329084 is a wasteful number, since it uses less digits than its factorization.

329084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 329084 is about 573.6584349593. The cubic root of 329084 is about 69.0402341837.

The spelling of 329084 in words is "three hundred twenty-nine thousand, eighty-four".