13585209 has 32 divisors (see below), whose sum is σ = 21288960. Its totient is φ = 7617600.

The previous prime is 13585189. The next prime is 13585259. The reversal of 13585209 is 90258531.

It is not a de Polignac number, because 13585209 - 2⁵ = 13585177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 13585209.

It is not an unprimeable number, because it can be changed into a prime (13585259) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29239 + ... + 29699.

It is an arithmetic number, because the mean of its divisors is an integer number (665280).

Almost surely, 2^13585209 is an apocalyptic number.

13585209 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

13585209 is a deficient number, since it is larger than the sum of its proper divisors (7703751).

13585209 is a wasteful number, since it uses less digits than its factorization.

13585209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541.

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 13585209 is about 3685.8118508681. The cubic root of 13585209 is about 238.6100736142.

The spelling of 13585209 in words is "thirteen million, five hundred eighty-five thousand, two hundred nine".