329685 has 16 divisors (see below), whose sum is σ = 545280. Its totient is φ = 169920.

The previous prime is 329683. The next prime is 329687. The reversal of 329685 is 586923.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (329683) and next prime (329687).

It is not a de Polignac number, because 329685 - 2¹ = 329683 is a prime.

It is a d-powerful number, because it can be written as 3 + 2¹⁶ + 6⁴ + 9² + 8⁶ + 5⁴ .

It is a Curzon number.

329685 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111 + ... + 819.

It is an arithmetic number, because the mean of its divisors is an integer number (34080).

2³²⁹⁶⁸⁵ is an apocalyptic number.

It is an amenable number.

329685 is a deficient number, since it is larger than the sum of its proper divisors (215595).

329685 is a wasteful number, since it uses less digits than its factorization.

329685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748.

The product of its digits is 12960, while the sum is 33.

The square root of 329685 is about 574.1820268869. The cubic root of 329685 is about 69.0822375900.

The spelling of 329685 in words is "three hundred twenty-nine thousand, six hundred eighty-five".