47916 has 36 divisors (see below), whose sum is σ = 133224. Its totient is φ = 14520.

The previous prime is 47911. The next prime is 47917. The reversal of 47916 is 61974.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (36).

It is a plaindrome in base 14.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 47916.

It is not an unprimeable number, because it can be changed into a prime (47911) by changing a digit.

47916 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 11 ways as a sum of consecutive naturals, for example, 4351 + ... + 4361.

2⁴⁷⁹¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66612).

47916 is an abundant number, since it is smaller than the sum of its proper divisors (85308).

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

47916 is a wasteful number, since it uses less digits than its factorization.

47916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 16 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 47916 is about 218.8972361635. The cubic root of 47916 is about 36.3211997378.

The spelling of 47916 in words is "forty-seven thousand, nine hundred sixteen".