3965033 has 2 divisors, whose sum is σ = 3965034. Its totient is φ = 3965032.

The previous prime is 3965023. The next prime is 3965041. The reversal of 3965033 is 3305693.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2647129 + 1317904 = 1627^2 + 1148^2 .

It is an emirp because it is prime and its reverse (3305693) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3965033 - 2⁸ = 3964777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3964987 and 3965005.

It is not a weakly prime, because it can be changed into another prime (3965023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1982516 + 1982517.

It is an arithmetic number, because the mean of its divisors is an integer number (1982517).

Almost surely, 2^3965033 is an apocalyptic number.

It is an amenable number.

3965033 is a deficient number, since it is larger than the sum of its proper divisors (1).

3965033 is an equidigital number, since it uses as much as digits as its factorization.

3965033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7290, while the sum is 29.

The square root of 3965033 is about 1991.2390614891. The cubic root of 3965033 is about 158.2761953264.

The spelling of 3965033 in words is "three million, nine hundred sixty-five thousand, thirty-three".