5586 has 24 divisors (see below), whose sum is σ = 13680. Its totient is φ = 1512.

The previous prime is 5581. The next prime is 5591. The reversal of 5586 is 6855.

It is an interprime number because it is at equal distance from previous prime (5581) and next prime (5591).

It is a Curzon number.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

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 11 ways as a sum of consecutive naturals, for example, 285 + ... + 303.

It is an arithmetic number, because the mean of its divisors is an integer number (570).

It is a practical number, because each smaller number is the sum of distinct divisors of 5586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6840).

5586 is an abundant number, since it is smaller than the sum of its proper divisors (8094).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5586 is a wasteful number, since it uses less digits than its factorization.

5586 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 31 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 5586 is about 74.7395477642. The cubic root of 5586 is about 17.7432692857.

Adding to 5586 its product of digits (1200), we get a triangular number (6786 = T₁₁₆).

It can be divided in two parts, 55 and 86, that added together give a palindrome (141).

The spelling of 5586 in words is "five thousand, five hundred eighty-six".