47856 has 20 divisors (see below), whose sum is σ = 123752. Its totient is φ = 15936.

The previous prime is 47843. The next prime is 47857. The reversal of 47856 is 65874.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47856.

It is not an unprimeable number, because it can be changed into a prime (47857) by changing a digit.

47856 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 3 ways as a sum of consecutive naturals, for example, 451 + ... + 546.

2⁴⁷⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

47856 is an abundant number, since it is smaller than the sum of its proper divisors (75896).

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 (61876).

47856 is a wasteful number, since it uses less digits than its factorization.

47856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1002 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 47856 is about 218.7601426220. The cubic root of 47856 is about 36.3060330417.

It can be divided in two parts, 47 and 856, that added together give a triangular number (903 = T₄₂).

The spelling of 47856 in words is "forty-seven thousand, eight hundred fifty-six".