330948 has 36 divisors (see below), whose sum is σ = 868140. Its totient is φ = 106176.

The previous prime is 330943. The next prime is 330983. The reversal of 330948 is 849033.

It can be written as a sum of positive squares in 2 ways, for example, as 82944 + 248004 = 288^2 + 498^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 330948.

It is not an unprimeable number, because it can be changed into a prime (330943) by changing a digit.

330948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 886 + ... + 1202.

It is an arithmetic number, because the mean of its divisors is an integer number (24115).

2³³⁰⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434070).

330948 is an abundant number, since it is smaller than the sum of its proper divisors (537192).

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

330948 is a wasteful number, since it uses less digits than its factorization.

330948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 330948 is about 575.2808010007. The cubic root of 330948 is about 69.1703415734.

The spelling of 330948 in words is "three hundred thirty thousand, nine hundred forty-eight".