12409 has 2 divisors, whose sum is σ = 12410. Its totient is φ = 12408.

The previous prime is 12401. The next prime is 12413. The reversal of 12409 is 90421.

12409 is nontrivially palindromic in base 7.

12409 is digitally balanced in base 2 and base 3, because in such bases 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., 7225 + 5184 = 85^2 + 72^2 .

It is a cyclic number.

It is not a de Polignac number, because 12409 - 2³ = 12401 is a prime.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 12392 and 12401.

It is not a weakly prime, because it can be changed into another prime (12401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6204 + 6205.

It is an arithmetic number, because the mean of its divisors is an integer number (6205).

2¹²⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

12409 is a deficient number, since it is larger than the sum of its proper divisors (1).

12409 is an equidigital number, since it uses as much as digits as its factorization.

12409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 12409 is about 111.3956911195. The cubic root of 12409 is about 23.1514890032.

The spelling of 12409 in words is "twelve thousand, four hundred nine".