5213824 has 96 divisors (see below), whose sum is σ = 13537440. Its totient is φ = 1943040.

The previous prime is 5213821. The next prime is 5213827. The reversal of 5213824 is 4283125.

It is an interprime number because it is at equal distance from previous prime (5213821) and next prime (5213827).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5213821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226677 + ... + 226699.

It is an arithmetic number, because the mean of its divisors is an integer number (141015).

Almost surely, 2^5213824 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 5213824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768720).

5213824 is an abundant number, since it is smaller than the sum of its proper divisors (8323616).

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

5213824 is a wasteful number, since it uses less digits than its factorization.

5213824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 43 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 5213824 is about 2283.3799508623. The cubic root of 5213824 is about 173.4012094457.

Adding to 5213824 its reverse (4283125), we get a palindrome (9496949).

The spelling of 5213824 in words is "five million, two hundred thirteen thousand, eight hundred twenty-four".