5417584 has 40 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 2520000.

The previous prime is 5417579. The next prime is 5417597. The reversal of 5417584 is 4857145.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21459 + ... + 21709.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 2^5417584 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 5417584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

5417584 is an abundant number, since it is smaller than the sum of its proper divisors (5831696).

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

5417584 is a wasteful number, since it uses less digits than its factorization.

5417584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 343 counting only the distinct ones).

The product of its digits is 22400, while the sum is 34.

The square root of 5417584 is about 2327.5704070984. The cubic root of 5417584 is about 175.6312873304.

The spelling of 5417584 in words is "five million, four hundred seventeen thousand, five hundred eighty-four".