4033409 has 2 divisors, whose sum is σ = 4033410. Its totient is φ = 4033408.

The previous prime is 4033343. The next prime is 4033411. The reversal of 4033409 is 9043304.

4033409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3073009 + 960400 = 1753^2 + 980^2 .

It is a cyclic number.

It is not a de Polignac number, because 4033409 - 2⁸ = 4033153 is a prime.

It is a super-2 number, since 2×4033409² = 32536776322562, which contains 22 as substring.

Together with 4033411, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4033489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2016704 + 2016705.

It is an arithmetic number, because the mean of its divisors is an integer number (2016705).

Almost surely, 2^4033409 is an apocalyptic number.

It is an amenable number.

4033409 is a deficient number, since it is larger than the sum of its proper divisors (1).

4033409 is an equidigital number, since it uses as much as digits as its factorization.

4033409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 4033409 is about 2008.3348824337. The cubic root of 4033409 is about 159.1808261421.

The spelling of 4033409 in words is "four million, thirty-three thousand, four hundred nine".