5291584 has 28 divisors (see below), whose sum is σ = 10629900. Its totient is φ = 2613248.

The previous prime is 5291581. The next prime is 5291599. The reversal of 5291584 is 4851925.

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 4840000 = 672^2 + 2200^2 .

It is a super-2 number, since 2×5291584² = 56001722458112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5291581) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5232 + ... + 6160.

Almost surely, 2^5291584 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 5291584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5314950).

5291584 is an abundant number, since it is smaller than the sum of its proper divisors (5338316).

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

5291584 is an equidigital number, since it uses as much as digits as its factorization.

5291584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1020 counting only the distinct ones).

The product of its digits is 14400, while the sum is 34.

The square root of 5291584 is about 2300.3443220527. The cubic root of 5291584 is about 174.2590056460.

The spelling of 5291584 in words is "five million, two hundred ninety-one thousand, five hundred eighty-four".