330066825 has 72 divisors (see below), whose sum is σ = 616668864. Its totient is φ = 155548800.

The previous prime is 330066817. The next prime is 330066833. The reversal of 330066825 is 528660033.

It is an interprime number because it is at equal distance from previous prime (330066817) and next prime (330066833).

It is not a de Polignac number, because 330066825 - 2³ = 330066817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 335284 + ... + 336266.

Almost surely, 2^330066825 is an apocalyptic number.

It is an amenable number.

330066825 is a deficient number, since it is larger than the sum of its proper divisors (286602039).

330066825 is a wasteful number, since it uses less digits than its factorization.

330066825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 330066825 is about 18167.7413290701. The cubic root of 330066825 is about 691.0889652097.

It can be divided in two parts, 330066 and 825, that added together give a triangular number (330891 = T₈₁₃).

The spelling of 330066825 in words is "three hundred thirty million, sixty-six thousand, eight hundred twenty-five".