8585 has 8 divisors (see below), whose sum is σ = 11016. Its totient is φ = 6400.

The previous prime is 8581. The next prime is 8597. The reversal of 8585 is 5858.

8585 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 4489 = 64^2 + 67^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 8585 - 2² = 8581 is a prime.

It is an alternating number because its digits alternate between even and odd.

8585 is an undulating number in base 10.

8585 is strictly pandigital in base 6.

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (8581) 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, 35 + ... + 135.

It is an arithmetic number, because the mean of its divisors is an integer number (1377).

2⁸⁵⁸⁵ is an apocalyptic number.

8585 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8585 is a deficient number, since it is larger than the sum of its proper divisors (2431).

8585 is a wasteful number, since it uses less digits than its factorization.

8585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123.

The product of its digits is 1600, while the sum is 26.

The square root of 8585 is about 92.6552750792. The cubic root of 8585 is about 20.4760775874.

The spelling of 8585 in words is "eight thousand, five hundred eighty-five".