47824 has 30 divisors (see below), whose sum is σ = 109554. Its totient is φ = 20160.

The previous prime is 47819. The next prime is 47837. The reversal of 47824 is 42874.

47824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 28224 + 19600 = 168^2 + 140^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

47824 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 754 + ... + 814.

2⁴⁷⁸²⁴ 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 47824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54777).

47824 is an abundant number, since it is smaller than the sum of its proper divisors (61730).

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

47824 is a wasteful number, since it uses less digits than its factorization.

47824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 70 counting only the distinct ones).

The product of its digits is 1792, while the sum is 25.

The square root of 47824 is about 218.6869909254. The cubic root of 47824 is about 36.2979389531.

Subtracting from 47824 its reverse (42874), we obtain a triangular number (4950 = T₉₉).

The spelling of 47824 in words is "forty-seven thousand, eight hundred twenty-four".