3005329 has 2 divisors, whose sum is σ = 3005330. Its totient is φ = 3005328.

The previous prime is 3005297. The next prime is 3005339. The reversal of 3005329 is 9235003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2486929 + 518400 = 1577^2 + 720^2 .

It is an emirp because it is prime and its reverse (9235003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3005329 - 2⁵ = 3005297 is a prime.

It is not a weakly prime, because it can be changed into another prime (3005339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1502664 + 1502665.

It is an arithmetic number, because the mean of its divisors is an integer number (1502665).

Almost surely, 2^3005329 is an apocalyptic number.

It is an amenable number.

3005329 is a deficient number, since it is larger than the sum of its proper divisors (1).

3005329 is an equidigital number, since it uses as much as digits as its factorization.

3005329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 3005329 is about 1733.5884748117. The cubic root of 3005329 is about 144.3103037155.

The spelling of 3005329 in words is "three million, five thousand, three hundred twenty-nine".