330705 has 12 divisors (see below), whose sum is σ = 573300. Its totient is φ = 176352.

The previous prime is 330703. The next prime is 330719. The reversal of 330705 is 507033.

It can be written as a sum of positive squares in 2 ways, for example, as 173889 + 156816 = 417^2 + 396^2 .

It is not a de Polignac number, because 330705 - 2¹ = 330703 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 330705.

It is not an unprimeable number, because it can be changed into a prime (330703) 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, 3630 + ... + 3719.

It is an arithmetic number, because the mean of its divisors is an integer number (47775).

2³³⁰⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

330705 is a deficient number, since it is larger than the sum of its proper divisors (242595).

330705 is a wasteful number, since it uses less digits than its factorization.

330705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7360 (or 7357 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 330705 is about 575.0695610098. The cubic root of 330705 is about 69.1534078874.

Adding to 330705 its reverse (507033), we get a palindrome (837738).

It can be divided in two parts, 330 and 705, that added together give a triangular number (1035 = T₄₅).

The spelling of 330705 in words is "three hundred thirty thousand, seven hundred five".