330849 has 6 divisors (see below), whose sum is σ = 477906. Its totient is φ = 220560.

The previous prime is 330839. The next prime is 330853. The reversal of 330849 is 948033.

It can be written as a sum of positive squares in only one way, i.e., 176400 + 154449 = 420^2 + 393^2 .

It is not a de Polignac number, because 330849 - 2⁷ = 330721 is a prime.

It is a super-2 number, since 2×330849² = 218922121602, which contains 22 as substring.

330849 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 330849.

It is not an unprimeable number, because it can be changed into a prime (330839) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 18372 + ... + 18389.

It is an arithmetic number, because the mean of its divisors is an integer number (79651).

2³³⁰⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

330849 is a deficient number, since it is larger than the sum of its proper divisors (147057).

330849 is a wasteful number, since it uses less digits than its factorization.

330849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36767 (or 36764 counting only the distinct ones).

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

The square root of 330849 is about 575.1947496283. The cubic root of 330849 is about 69.1634436652.

The spelling of 330849 in words is "three hundred thirty thousand, eight hundred forty-nine".