3005633 has 2 divisors, whose sum is σ = 3005634. Its totient is φ = 3005632.

The previous prime is 3005627. The next prime is 3005671. The reversal of 3005633 is 3365003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2982529 + 23104 = 1727^2 + 152^2 .

It is an emirp because it is prime and its reverse (3365003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3005633 - 2⁸ = 3005377 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (3005623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1502816 + 1502817.

It is an arithmetic number, because the mean of its divisors is an integer number (1502817).

Almost surely, 2^3005633 is an apocalyptic number.

It is an amenable number.

3005633 is a deficient number, since it is larger than the sum of its proper divisors (1).

3005633 is an equidigital number, since it uses as much as digits as its factorization.

3005633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 810, while the sum is 20.

The square root of 3005633 is about 1733.6761519961. The cubic root of 3005633 is about 144.3151693895.

The spelling of 3005633 in words is "three million, five thousand, six hundred thirty-three".