48081 has 16 divisors (see below), whose sum is σ = 73728. Its totient is φ = 27600.

The previous prime is 48079. The next prime is 48091. The reversal of 48081 is 18084.

It is not a de Polignac number, because 48081 - 2¹ = 48079 is a prime.

It is a super-3 number, since 3×48081³ = 333458451946323, which contains 333 as substring. Note that it is a super-d number also for d = 2.

48081 is a modest number, since divided by 81 gives 48 as remainder.

48081 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48081.

It is not an unprimeable number, because it can be changed into a prime (48091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1000 + ... + 1046.

It is an arithmetic number, because the mean of its divisors is an integer number (4608).

2⁴⁸⁰⁸¹ is an apocalyptic number.

It is an amenable number.

48081 is a deficient number, since it is larger than the sum of its proper divisors (25647).

48081 is a wasteful number, since it uses less digits than its factorization.

48081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92.

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 48081 is about 219.2738014447. The cubic root of 48081 is about 36.3628429751.

It can be divided in two parts, 480 and 81, that added together give a triangular number (561 = T₃₃).

The spelling of 48081 in words is "forty-eight thousand, eighty-one".