4131409 has 2 divisors, whose sum is σ = 4131410. Its totient is φ = 4131408.

The previous prime is 4131373. The next prime is 4131443. The reversal of 4131409 is 9041314.

4131409 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., 2433600 + 1697809 = 1560^2 + 1303^2 .

It is a cyclic number.

It is not a de Polignac number, because 4131409 - 2⁹ = 4130897 is a prime.

It is a Chen prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4131409.

It is not a weakly prime, because it can be changed into another prime (4131109) 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, 2065704 + 2065705.

It is an arithmetic number, because the mean of its divisors is an integer number (2065705).

Almost surely, 2^4131409 is an apocalyptic number.

It is an amenable number.

4131409 is a deficient number, since it is larger than the sum of its proper divisors (1).

4131409 is an equidigital number, since it uses as much as digits as its factorization.

4131409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 4131409 is about 2032.5867755154. The cubic root of 4131409 is about 160.4597324602.

The spelling of 4131409 in words is "four million, one hundred thirty-one thousand, four hundred nine".