329805 has 32 divisors (see below), whose sum is σ = 672000. Its totient is φ = 150336.

The previous prime is 329803. The next prime is 329863. The reversal of 329805 is 508923.

It is not a de Polignac number, because 329805 - 2¹ = 329803 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329801) 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 31 ways as a sum of consecutive naturals, for example, 771 + ... + 1119.

It is an arithmetic number, because the mean of its divisors is an integer number (21000).

2³²⁹⁸⁰⁵ is an apocalyptic number.

329805 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

329805 is an abundant number, since it is smaller than the sum of its proper divisors (342195).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

329805 is a wasteful number, since it uses less digits than its factorization.

329805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 329805 is about 574.2865138587. The cubic root of 329805 is about 69.0906181785.

Subtracting from 329805 its product of nonzero digits (2160), we obtain a triangular number (327645 = T₈₀₉).

The spelling of 329805 in words is "three hundred twenty-nine thousand, eight hundred five".