5182584 has 64 divisors (see below), whose sum is σ = 14394240. Its totient is φ = 1541760.

The previous prime is 5182571. The next prime is 5182601. The reversal of 5182584 is 4852815.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 17542 + ... + 17834.

It is an arithmetic number, because the mean of its divisors is an integer number (224910).

Almost surely, 2^5182584 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 5182584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197120).

5182584 is an abundant number, since it is smaller than the sum of its proper divisors (9211656).

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

5182584 is a wasteful number, since it uses less digits than its factorization.

5182584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 376 counting only the distinct ones).

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

The square root of 5182584 is about 2276.5289367807. The cubic root of 5182584 is about 173.0541890900.

The spelling of 5182584 in words is "five million, one hundred eighty-two thousand, five hundred eighty-four".