12609 has 8 divisors (see below), whose sum is σ = 18720. Its totient is φ = 8388.

The previous prime is 12601. The next prime is 12611. The reversal of 12609 is 90621.

It is not a de Polignac number, because 12609 - 2³ = 12601 is a prime.

It is a Curzon number.

12609 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 12591 and 12600.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12609.

It is not an unprimeable number, because it can be changed into a prime (12601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207 + ... + 260.

It is an arithmetic number, because the mean of its divisors is an integer number (2340).

2¹²⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

12609 is a deficient number, since it is larger than the sum of its proper divisors (6111).

12609 is an equidigital number, since it uses as much as digits as its factorization.

12609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 12609 is about 112.2898036333. The cubic root of 12609 is about 23.2752067930.

The spelling of 12609 in words is "twelve thousand, six hundred nine".