329013 has 12 divisors (see below), whose sum is σ = 480480. Its totient is φ = 216936.

The previous prime is 329009. The next prime is 329027. The reversal of 329013 is 310923.

329013 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 329013 - 2² = 329009 is a prime.

329013 is strictly pandigital in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329053) 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, 1120 + ... + 1382.

It is an arithmetic number, because the mean of its divisors is an integer number (40040).

2³²⁹⁰¹³ is an apocalyptic number.

It is an amenable number.

329013 is a deficient number, since it is larger than the sum of its proper divisors (151467).

329013 is a wasteful number, since it uses less digits than its factorization.

329013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 329013 is about 573.5965481068. The cubic root of 329013 is about 69.0352686742.

Adding to 329013 its reverse (310923), we get a palindrome (639936).

It can be divided in two parts, 32 and 9013, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 329013 in words is "three hundred twenty-nine thousand, thirteen".