330417 has 6 divisors (see below), whose sum is σ = 477282. Its totient is φ = 220272.

The previous prime is 330413. The next prime is 330427. The reversal of 330417 is 714033.

It can be written as a sum of positive squares in only one way, i.e., 318096 + 12321 = 564^2 + 111^2 .

It is not a de Polignac number, because 330417 - 2² = 330413 is a prime.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 330417.

It is not an unprimeable number, because it can be changed into a prime (330413) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18348 + ... + 18365.

It is an arithmetic number, because the mean of its divisors is an integer number (79547).

2³³⁰⁴¹⁷ is an apocalyptic number.

It is an amenable number.

330417 is a deficient number, since it is larger than the sum of its proper divisors (146865).

330417 is a wasteful number, since it uses less digits than its factorization.

330417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36719 (or 36716 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 330417 is about 574.8191019790. The cubic root of 330417 is about 69.1333275885.

It can be divided in two parts, 3304 and 17, that added together give a triangular number (3321 = T₈₁).

The spelling of 330417 in words is "three hundred thirty thousand, four hundred seventeen".