10409 has 4 divisors (see below), whose sum is σ = 11904. Its totient is φ = 8916.

The previous prime is 10399. The next prime is 10427. The reversal of 10409 is 90401.

10409 = T₅₁ + T₅₂ + ... + T₅₇.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10393 and 10402.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10409.

It is not an unprimeable number, because it can be changed into a prime (10429) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 737 + ... + 750.

It is an arithmetic number, because the mean of its divisors is an integer number (2976).

2¹⁰⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

10409 is a deficient number, since it is larger than the sum of its proper divisors (1495).

10409 is an equidigital number, since it uses as much as digits as its factorization.

10409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 10409 is about 102.0245068599. The cubic root of 10409 is about 21.8341523432.

The spelling of 10409 in words is "ten thousand, four hundred nine".