330966 has 28 divisors (see below), whose sum is σ = 747612. Its totient is φ = 109836.

The previous prime is 330943. The next prime is 330983. The reversal of 330966 is 669033.

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

It is a nialpdrome in base 9 and base 14.

It is a congruent number.

It is an unprimeable number.

330966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1345 + ... + 1571.

2³³⁰⁹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373806).

330966 is an abundant number, since it is smaller than the sum of its proper divisors (416646).

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

330966 is an equidigital number, since it uses as much as digits as its factorization.

330966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 330966 is about 575.2964453219. The cubic root of 330966 is about 69.1715955907.

Adding to 330966 its reverse (669033), we get a palindrome (999999).

It can be divided in two parts, 3309 and 66, that added together give a cube (3375 = 15³).

The spelling of 330966 in words is "three hundred thirty thousand, nine hundred sixty-six".