5584 has 10 divisors (see below), whose sum is σ = 10850. Its totient is φ = 2784.

The previous prime is 5581. The next prime is 5591. The reversal of 5584 is 4855.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5184 + 400 = 72^2 + 20^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 159 + ... + 190.

It is an arithmetic number, because the mean of its divisors is an integer number (1085).

2⁵⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

5584 is a deficient number, since it is larger than the sum of its proper divisors (5266).

5584 is a wasteful number, since it uses less digits than its factorization.

5584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 351 counting only the distinct ones).

The product of its digits is 800, while the sum is 22.

The square root of 5584 is about 74.7261667691. The cubic root of 5584 is about 17.7411514450.

Subtracting from 5584 its reverse (4855), we obtain a 6-th power (729 = 3⁶).

The spelling of 5584 in words is "five thousand, five hundred eighty-four".