5003584 has 28 divisors (see below), whose sum is σ = 10202164. Its totient is φ = 2433024.

The previous prime is 5003549. The next prime is 5003591. The reversal of 5003584 is 4853005.

It is a happy number.

5003584 is nontrivially palindromic in base 13.

5003584 is digitally balanced in base 5, 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 2 ways, for example, as 1763584 + 3240000 = 1328^2 + 1800^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1312 + ... + 3424.

It is an arithmetic number, because the mean of its divisors is an integer number (364363).

Almost surely, 2^5003584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5003584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101082).

5003584 is an abundant number, since it is smaller than the sum of its proper divisors (5198580).

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

5003584 is a wasteful number, since it uses less digits than its factorization.

5003584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 5003584 is about 2236.8692407023. The cubic root of 5003584 is about 171.0384419347.

Adding to 5003584 its reverse (4853005), we get a palindrome (9856589).

The spelling of 5003584 in words is "five million, three thousand, five hundred eighty-four".