329834 has 16 divisors (see below), whose sum is σ = 534600. Its totient is φ = 152064.

The previous prime is 329803. The next prime is 329863. The reversal of 329834 is 438923.

329834 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 299209 + 30625 = 547^2 + 175^2 .

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 329797 and 329806.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 329834.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2972 + ... + 3080.

2³²⁹⁸³⁴ is an apocalyptic number.

329834 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

329834 is a deficient number, since it is larger than the sum of its proper divisors (204766).

329834 is a wasteful number, since it uses less digits than its factorization.

329834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217.

The product of its digits is 5184, while the sum is 29.

The square root of 329834 is about 574.3117620248. The cubic root of 329834 is about 69.0926431824.

The spelling of 329834 in words is "three hundred twenty-nine thousand, eight hundred thirty-four".