5583825 has 72 divisors (see below), whose sum is σ = 11374272. Its totient is φ = 2597760.

The previous prime is 5583821. The next prime is 5583833. The reversal of 5583825 is 5283855.

It is not a de Polignac number, because 5583825 - 2² = 5583821 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5583825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5583821) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67234 + ... + 67316.

It is an arithmetic number, because the mean of its divisors is an integer number (157976).

Almost surely, 2^5583825 is an apocalyptic number.

It is an amenable number.

5583825 is an abundant number, since it is smaller than the sum of its proper divisors (5790447).

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

5583825 is a wasteful number, since it uses less digits than its factorization.

5583825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 127 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 5583825 is about 2363.0118493143. The cubic root of 5583825 is about 177.4096610984.

The spelling of 5583825 in words is "five million, five hundred eighty-three thousand, eight hundred twenty-five".