8609 has 2 divisors, whose sum is σ = 8610. Its totient is φ = 8608.

The previous prime is 8599. The next prime is 8623. The reversal of 8609 is 9068.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6400 + 2209 = 80^2 + 47^2 .

It is a cyclic number.

It is not a de Polignac number, because 8609 - 2⁸ = 8353 is a prime.

It is a super-2 number, since 2×8609² = 148229762, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8609.

It is not a weakly prime, because it can be changed into another prime (8629) 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 as a sum of consecutive naturals, namely, 4304 + 4305.

It is an arithmetic number, because the mean of its divisors is an integer number (4305).

2⁸⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

8609 is a deficient number, since it is larger than the sum of its proper divisors (1).

8609 is an equidigital number, since it uses as much as digits as its factorization.

8609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 8609 is about 92.7846970141. The cubic root of 8609 is about 20.4951406289.

The spelling of 8609 in words is "eight thousand, six hundred nine".