5207584 has 24 divisors (see below), whose sum is σ = 10353420. Its totient is φ = 2578176.

The previous prime is 5207569. The next prime is 5207599. The reversal of 5207584 is 4857025.

It is an interprime number because it is at equal distance from previous prime (5207569) and next prime (5207599).

It can be written as a sum of positive squares in 2 ways, for example, as 4717584 + 490000 = 2172^2 + 700^2 .

It is a super-2 number, since 2×5207584² = 54237862234112, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2742 + ... + 4234.

Almost surely, 2^5207584 is an apocalyptic number.

It is an amenable number.

5207584 is a deficient number, since it is larger than the sum of its proper divisors (5145836).

5207584 is a wasteful number, since it uses less digits than its factorization.

5207584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 5207584 is about 2282.0131463250. The cubic root of 5207584 is about 173.3320052495.

The spelling of 5207584 in words is "five million, two hundred seven thousand, five hundred eighty-four".