47820 has 24 divisors (see below), whose sum is σ = 134064. Its totient is φ = 12736.

The previous prime is 47819. The next prime is 47837. The reversal of 47820 is 2874.

It is a happy number.

47820 is nontrivially palindromic in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47820.

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, 339 + ... + 458.

It is an arithmetic number, because the mean of its divisors is an integer number (5586).

2⁴⁷⁸²⁰ is an apocalyptic number.

It is an amenable number.

47820 is an abundant number, since it is smaller than the sum of its proper divisors (86244).

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 (67032).

47820 is a wasteful number, since it uses less digits than its factorization.

47820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 47820 is about 218.6778452427. The cubic root of 47820 is about 36.2969269382.

The spelling of 47820 in words is "forty-seven thousand, eight hundred twenty".