329199 has 16 divisors (see below), whose sum is σ = 494592. Its totient is φ = 193248.

The previous prime is 329191. The next prime is 329201. The reversal of 329199 is 991923.

It is not a de Polignac number, because 329199 - 2³ = 329191 is a prime.

329199 is a lucky 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 329199.

It is not an unprimeable number, because it can be changed into a prime (329191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 714 + ... + 1080.

It is an arithmetic number, because the mean of its divisors is an integer number (30912).

2³²⁹¹⁹⁹ is an apocalyptic number.

329199 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

329199 is a deficient number, since it is larger than the sum of its proper divisors (165393).

329199 is a wasteful number, since it uses less digits than its factorization.

329199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406.

The product of its digits is 4374, while the sum is 33.

The square root of 329199 is about 573.7586600654. The cubic root of 329199 is about 69.0482753953.

It can be divided in two parts, 329 and 199, that added together give a triangular number (528 = T₃₂).

The spelling of 329199 in words is "three hundred twenty-nine thousand, one hundred ninety-nine".