329229 has 12 divisors (see below), whose sum is σ = 480636. Its totient is φ = 217152.

The previous prime is 329209. The next prime is 329233. The reversal of 329229 is 922923.

It can be written as a sum of positive squares in 2 ways, for example, as 81225 + 248004 = 285^2 + 498^2 .

It is not a de Polignac number, because 329229 - 2⁷ = 329101 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 3³ + 2⁶ + 2¹⁶ + 9³ + 2¹⁸ + 9³ .

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 329229.

It is not an unprimeable number, because it can be changed into a prime (329209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1297 + ... + 1529.

It is an arithmetic number, because the mean of its divisors is an integer number (40053).

2³²⁹²²⁹ is an apocalyptic number.

It is an amenable number.

329229 is a deficient number, since it is larger than the sum of its proper divisors (151407).

329229 is a wasteful number, since it uses less digits than its factorization.

329229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 393 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 329229 is about 573.7848028660. The cubic root of 329229 is about 69.0503727947.

It can be divided in two parts, 3292 and 29, that added together give a triangular number (3321 = T₈₁).

The spelling of 329229 in words is "three hundred twenty-nine thousand, two hundred twenty-nine".