8605 has 4 divisors (see below), whose sum is σ = 10332. Its totient is φ = 6880.

The previous prime is 8599. The next prime is 8609. The reversal of 8605 is 5068.

8605 is nontrivially palindromic in base 9.

8605 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4761 + 3844 = 69^2 + 62^2 .

It is not a de Polignac number, because 8605 - 2³ = 8597 is a prime.

It is a Duffinian number.

8605 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 856 + ... + 865.

It is an arithmetic number, because the mean of its divisors is an integer number (2583).

2⁸⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

8605 is a deficient number, since it is larger than the sum of its proper divisors (1727).

8605 is a wasteful number, since it uses less digits than its factorization.

8605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 8605 is about 92.7631392311. The cubic root of 8605 is about 20.4919659178.

The spelling of 8605 in words is "eight thousand, six hundred five".