329623 has 12 divisors (see below), whose sum is σ = 397200. Its totient is φ = 273420.

The previous prime is 329617. The next prime is 329627. The reversal of 329623 is 326923.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

329623 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 329623 - 2⁵ = 329591 is a prime.

It is a d-powerful number, because it can be written as 3⁹ + 2¹¹ + 6⁷ + 9² + 2¹³ + 3⁹ .

It is a Duffinian number.

329623 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329627) 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, 10618 + ... + 10648.

It is an arithmetic number, because the mean of its divisors is an integer number (33100).

2³²⁹⁶²³ is an apocalyptic number.

329623 is a deficient number, since it is larger than the sum of its proper divisors (67577).

329623 is an frugal number, since it uses more digits than its factorization.

329623 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 38 counting only the distinct ones).

The product of its digits is 1944, while the sum is 25.

The square root of 329623 is about 574.1280345010. The cubic root of 329623 is about 69.0779068225.

The spelling of 329623 in words is "three hundred twenty-nine thousand, six hundred twenty-three".