330393 has 8 divisors (see below), whose sum is σ = 503488. Its totient is φ = 188784.

The previous prime is 330389. The next prime is 330409. The reversal of 330393 is 393033.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 330393 - 2² = 330389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 15733 = 330393 / (3 + 3 + 0 + 3 + 9 + 3).

It is a Duffinian number.

It is a Curzon number.

330393 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7846 + ... + 7887.

It is an arithmetic number, because the mean of its divisors is an integer number (62936).

2³³⁰³⁹³ is an apocalyptic number.

It is an amenable number.

330393 is a deficient number, since it is larger than the sum of its proper divisors (173095).

330393 is a wasteful number, since it uses less digits than its factorization.

330393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15743.

The product of its (nonzero) digits is 729, while the sum is 21.

The square root of 330393 is about 574.7982254670. The cubic root of 330393 is about 69.1316537037.

The spelling of 330393 in words is "three hundred thirty thousand, three hundred ninety-three".