13209 has 16 divisors (see below), whose sum is σ = 21888. Its totient is φ = 6912.

The previous prime is 13187. The next prime is 13217. The reversal of 13209 is 90231.

13209 = T₆ + T₇ + ... + T₄₂.

It is not a de Polignac number, because 13209 - 2⁵ = 13177 is a prime.

13209 is a lucky number.

It is a plaindrome in base 12 and base 16.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13219) 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, 339 + ... + 375.

It is an arithmetic number, because the mean of its divisors is an integer number (1368).

2¹³²⁰⁹ is an apocalyptic number.

It is an amenable number.

13209 is a deficient number, since it is larger than the sum of its proper divisors (8679).

13209 is a wasteful number, since it uses less digits than its factorization.

13209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 13209 is about 114.9304137294. The cubic root of 13209 is about 23.6386849970.

Multiplying 13209 by its sum of digits (15), we get a triangular number (198135 = T₆₂₉).

It can be divided in two parts, 13 and 209, that added together give a palindrome (222).

The spelling of 13209 in words is "thirteen thousand, two hundred nine".