5171824 has 40 divisors (see below), whose sum is σ = 11655008. Its totient is φ = 2177280.

The previous prime is 5171809. The next prime is 5171839. The reversal of 5171824 is 4281715.

5171824 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (5171809) and next prime (5171839).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 5171792 and 5171801.

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, 6454 + ... + 7210.

Almost surely, 2^5171824 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 5171824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5827504).

5171824 is an abundant number, since it is smaller than the sum of its proper divisors (6483184).

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

5171824 is a wasteful number, since it uses less digits than its factorization.

5171824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 827 counting only the distinct ones).

The product of its digits is 2240, while the sum is 28.

The square root of 5171824 is about 2274.1644619508. The cubic root of 5171824 is about 172.9343419747.

It can be divided in two parts, 5171 and 824, that added together give a palindrome (5995).

The spelling of 5171824 in words is "five million, one hundred seventy-one thousand, eight hundred twenty-four".