13824409 has 2 divisors, whose sum is σ = 13824410. Its totient is φ = 13824408.

The previous prime is 13824407. The next prime is 13824443. The reversal of 13824409 is 90442831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7209225 + 6615184 = 2685^2 + 2572^2 .

It is a cyclic number.

It is not a de Polignac number, because 13824409 - 2¹ = 13824407 is a prime.

It is a super-2 number, since 2×13824409² = 382228568398562, which contains 22 as substring.

Together with 13824407, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13824401) 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, 6912204 + 6912205.

It is an arithmetic number, because the mean of its divisors is an integer number (6912205).

Almost surely, 2^13824409 is an apocalyptic number.

It is an amenable number.

13824409 is a deficient number, since it is larger than the sum of its proper divisors (1).

13824409 is an equidigital number, since it uses as much as digits as its factorization.

13824409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 13824409 is about 3718.1190136950. The cubic root of 13824409 is about 240.0023668748.

The spelling of 13824409 in words is "thirteen million, eight hundred twenty-four thousand, four hundred nine".