47832 has 16 divisors (see below), whose sum is σ = 119640. Its totient is φ = 15936.

The previous prime is 47819. The next prime is 47837. The reversal of 47832 is 23874.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1993 = 47832 / (4 + 7 + 8 + 3 + 2).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47837) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 973 + ... + 1020.

2⁴⁷⁸³² is an apocalyptic number.

It is an amenable number.

47832 is an abundant number, since it is smaller than the sum of its proper divisors (71808).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59820).

47832 is a wasteful number, since it uses less digits than its factorization.

47832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1998 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 47832 is about 218.7052811434. The cubic root of 47832 is about 36.2999628137.

The spelling of 47832 in words is "forty-seven thousand, eight hundred thirty-two".