5281584 has 80 divisors (see below), whose sum is σ = 17022720. Its totient is φ = 1370880.

The previous prime is 5281547. The next prime is 5281597. The reversal of 5281584 is 4851825.

It is a Harshad number since it is a multiple of its sum of digits (33).

5281584 is a modest number, since divided by 1584 gives 528 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2982 + ... + 4410.

It is an arithmetic number, because the mean of its divisors is an integer number (212784).

Almost surely, 2^5281584 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 5281584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8511360).

5281584 is an abundant number, since it is smaller than the sum of its proper divisors (11741136).

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

5281584 is a wasteful number, since it uses less digits than its factorization.

5281584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1452 counting only the distinct ones).

The product of its digits is 12800, while the sum is 33.

The square root of 5281584 is about 2298.1697065273. The cubic root of 5281584 is about 174.1491652578.

It can be divided in two parts, 528 and 1584, that added together give a palindrome (2112).

The spelling of 5281584 in words is "five million, two hundred eighty-one thousand, five hundred eighty-four".