330004221 has 32 divisors (see below), whose sum is σ = 481645440. Its totient is φ = 200134656.

The previous prime is 330004189. The next prime is 330004243. The reversal of 330004221 is 122400033.

330004221 = T₄₂₀₅ + T₄₂₀₆ + ... + T₄₂₄₁.

It is not a de Polignac number, because 330004221 - 2⁵ = 330004189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 330004221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330004921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337285 + ... + 338261.

It is an arithmetic number, because the mean of its divisors is an integer number (15051420).

Almost surely, 2^330004221 is an apocalyptic number.

It is an amenable number.

330004221 is a deficient number, since it is larger than the sum of its proper divisors (151641219).

330004221 is a wasteful number, since it uses less digits than its factorization.

330004221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 330004221 is about 18166.0183034148. The cubic root of 330004221 is about 691.0452693417.

Adding to 330004221 its reverse (122400033), we get a palindrome (452404254).

The spelling of 330004221 in words is "three hundred thirty million, four thousand, two hundred twenty-one".