13205409 has 16 divisors (see below), whose sum is σ = 20183040. Its totient is φ = 7523280.

The previous prime is 13205393. The next prime is 13205419. The reversal of 13205409 is 90450231.

It is not a de Polignac number, because 13205409 - 2⁴ = 13205393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13205419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8322 + ... + 9780.

It is an arithmetic number, because the mean of its divisors is an integer number (1261440).

Almost surely, 2^13205409 is an apocalyptic number.

It is an amenable number.

13205409 is a deficient number, since it is larger than the sum of its proper divisors (6977631).

13205409 is a wasteful number, since it uses less digits than its factorization.

13205409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 13205409 is about 3633.9247378007. The cubic root of 13205409 is about 236.3654266450.

The spelling of 13205409 in words is "thirteen million, two hundred five thousand, four hundred nine".