2609 has 2 divisors, whose sum is σ = 2610. Its totient is φ = 2608.

The previous prime is 2593. The next prime is 2617. The reversal of 2609 is 9062.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2209 + 400 = 47^2 + 20^2 .

It is a cyclic number.

It is not a de Polignac number, because 2609 - 2⁴ = 2593 is a prime.

It is a Chen prime.

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2609.

It is not a weakly prime, because it can be changed into another prime (2659) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1304 + 1305.

It is an arithmetic number, because the mean of its divisors is an integer number (1305).

2²⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

2609 is a deficient number, since it is larger than the sum of its proper divisors (1).

2609 is an equidigital number, since it uses as much as digits as its factorization.

2609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 2609 is about 51.0783711565. The cubic root of 2609 is about 13.7665365780.

The spelling of 2609 in words is "two thousand, six hundred nine".