47584 has 12 divisors (see below), whose sum is σ = 93744. Its totient is φ = 23776.

The previous prime is 47581. The next prime is 47591. The reversal of 47584 is 48574.

47584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 712 + ... + 775.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2⁴⁷⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

47584 is a deficient number, since it is larger than the sum of its proper divisors (46160).

47584 is a wasteful number, since it uses less digits than its factorization.

47584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1489 counting only the distinct ones).

The product of its digits is 4480, while the sum is 28.

The square root of 47584 is about 218.1375712710. The cubic root of 47584 is about 36.2371178959.

Subtracting 47584 from its reverse (48574), we obtain a triangular number (990 = T₄₄).

The spelling of 47584 in words is "forty-seven thousand, five hundred eighty-four".