47982 has 16 divisors (see below), whose sum is σ = 104832. Its totient is φ = 14520.

The previous prime is 47981. The next prime is 48017. The reversal of 47982 is 28974.

It is a plaindrome in base 8 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298 + ... + 429.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2⁴⁷⁹⁸² is an apocalyptic number.

47982 is an abundant number, since it is smaller than the sum of its proper divisors (56850).

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 (52416).

47982 is a wasteful number, since it uses less digits than its factorization.

47982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743.

The product of its digits is 4032, while the sum is 30.

The square root of 47982 is about 219.0479399584. The cubic root of 47982 is about 36.3378684872.

It can be divided in two parts, 479 and 82, that added together give a triangular number (561 = T₃₃).

The spelling of 47982 in words is "forty-seven thousand, nine hundred eighty-two".