2209 has 3 divisors (see below), whose sum is σ = 2257. Its totient is φ = 2162.

The previous prime is 2207. The next prime is 2213. The reversal of 2209 is 9022.

2209 = T_{46} + T_{47}.

The square root of 2209 is 47.

It is a perfect power (a square), and thus also a powerful number.

2209 is nontrivially palindromic in base 14.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 2209 - 2^{1} = 2207 is a prime.

It is a magnanimous number.

It is a Duffinian number.

2209 is an undulating number in base 14.

2209 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2203) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 24 + ... + 70.

2209 is the 47-th square number.

2209 is the 24-th centered octagonal number.

It is an amenable number.

2209 is a deficient number, since it is larger than the sum of its proper divisors (48).

2209 is an frugal number, since it uses more digits than its factorization.

2209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The cubic root of 2209 is about 13.0236256767.

Adding to 2209 its sum of digits (13), we get a palindrome (2222).

Multiplying 2209 by its product of nonzero digits (36), we get a square (79524 = 282^{2}).

The spelling of 2209 in words is "two thousand, two hundred nine".

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