330905 has 12 divisors (see below), whose sum is σ = 423660. Its totient is φ = 248064.

The previous prime is 330899. The next prime is 330907. The reversal of 330905 is 509033.

It can be written as a sum of positive squares in 6 ways, for example, as 71824 + 259081 = 268^2 + 509^2 .

It is a de Polignac number, because none of the positive numbers 2^k-330905 is a prime.

It is a nialpdrome in base 14.

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 330905.

It is not an unprimeable number, because it can be changed into a prime (330907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1331 + ... + 1559.

It is an arithmetic number, because the mean of its divisors is an integer number (35305).

2³³⁰⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

330905 is a deficient number, since it is larger than the sum of its proper divisors (92755).

330905 is a wasteful number, since it uses less digits than its factorization.

330905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 20.

The square root of 330905 is about 575.2434267334. The cubic root of 330905 is about 69.1673456813.

Adding to 330905 its reverse (509033), we get a palindrome (839938).

The spelling of 330905 in words is "three hundred thirty thousand, nine hundred five".