13409 has 8 divisors (see below), whose sum is σ = 15552. Its totient is φ = 11440.

The previous prime is 13399. The next prime is 13411. The reversal of 13409 is 90431.

13409 = T₂₂ + T₂₃ + ... + T₄₄.

13409 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-13409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227 + ... + 279.

It is an arithmetic number, because the mean of its divisors is an integer number (1944).

2¹³⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

13409 is a deficient number, since it is larger than the sum of its proper divisors (2143).

13409 is a wasteful number, since it uses less digits than its factorization.

13409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 13409 is about 115.7972365819. The cubic root of 13409 is about 23.7573938198.

The spelling of 13409 in words is "thirteen thousand, four hundred nine".