5585 has 4 divisors (see below), whose sum is σ = 6708. Its totient is φ = 4464.

The previous prime is 5581. The next prime is 5591. The reversal of 5585 is 5855.

It is a happy number.

5585 is nontrivially palindromic in base 8.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 5855 = 5 ⋅1171.

It can be written as a sum of positive squares in 2 ways, for example, as 961 + 4624 = 31^2 + 68^2 .

It is a cyclic number.

It is not a de Polignac number, because 5585 - 2² = 5581 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5585.

It is not an unprimeable number, because it can be changed into a prime (5581) 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, 554 + ... + 563.

It is an arithmetic number, because the mean of its divisors is an integer number (1677).

2⁵⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

5585 is a deficient number, since it is larger than the sum of its proper divisors (1123).

5585 is a wasteful number, since it uses less digits than its factorization.

5585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122.

The product of its digits is 1000, while the sum is 23.

The square root of 5585 is about 74.7328575661. The cubic root of 5585 is about 17.7422104285.

The spelling of 5585 in words is "five thousand, five hundred eighty-five".