48084 has 12 divisors (see below), whose sum is σ = 112224. Its totient is φ = 16024.

The previous prime is 48079. The next prime is 48091.

48084 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×48084³ = 333520873970112, which contains 333 as substring.

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 48084.

It is an unprimeable number.

48084 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, 1992 + ... + 2015.

It is an arithmetic number, because the mean of its divisors is an integer number (9352).

2⁴⁸⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

48084 is an abundant number, since it is smaller than the sum of its proper divisors (64140).

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 (56112).

48084 is a wasteful number, since it uses less digits than its factorization.

48084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4014 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 48084 is about 219.2806421005. The cubic root of 48084 is about 36.3635992424.

The spelling of 48084 in words is "forty-eight thousand, eighty-four".