5338584 has 48 divisors (see below), whose sum is σ = 14742000. Its totient is φ = 1744704.

The previous prime is 5338577. The next prime is 5338609. The reversal of 5338584 is 4858335.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3117 + ... + 4515.

It is an arithmetic number, because the mean of its divisors is an integer number (307125).

Almost surely, 2^5338584 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 5338584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7371000).

5338584 is an abundant number, since it is smaller than the sum of its proper divisors (9403416).

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

5338584 is a wasteful number, since it uses less digits than its factorization.

5338584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1457 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 5338584 is about 2310.5375997806. The cubic root of 5338584 is about 174.7734101396.

Subtracting from 5338584 its reverse (4858335), we obtain a square (480249 = 693²).

The spelling of 5338584 in words is "five million, three hundred thirty-eight thousand, five hundred eighty-four".