5271584 has 24 divisors (see below), whose sum is σ = 10435068. Its totient is φ = 2621440.

The previous prime is 5271557. The next prime is 5271599. The reversal of 5271584 is 4851725.

It can be written as a sum of positive squares in 2 ways, for example, as 3763600 + 1507984 = 1940^2 + 1228^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 5271584.

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, 7904 + ... + 8544.

Almost surely, 2^5271584 is an apocalyptic number.

It is an amenable number.

5271584 is a deficient number, since it is larger than the sum of its proper divisors (5163484).

5271584 is a wasteful number, since it uses less digits than its factorization.

5271584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 900 counting only the distinct ones).

The product of its digits is 11200, while the sum is 32.

The square root of 5271584 is about 2295.9930313483. The cubic root of 5271584 is about 174.0391861362.

Adding to 5271584 its sum of digits (32), we get a square (5271616 = 2296²).

The spelling of 5271584 in words is "five million, two hundred seventy-one thousand, five hundred eighty-four".