5083584 has 112 divisors (see below), whose sum is σ = 15361920. Its totient is φ = 1469440.

The previous prime is 5083579. The next prime is 5083619. The reversal of 5083584 is 4853805.

It is a happy number.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61207 + ... + 61289.

It is an arithmetic number, because the mean of its divisors is an integer number (137160).

Almost surely, 2^5083584 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 5083584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680960).

5083584 is an abundant number, since it is smaller than the sum of its proper divisors (10278336).

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

5083584 is a wasteful number, since it uses less digits than its factorization.

5083584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 5083584 is about 2254.6804651657. The cubic root of 5083584 is about 171.9451781296.

The spelling of 5083584 in words is "five million, eighty-three thousand, five hundred eighty-four".