4081 has 8 divisors (see below), whose sum is σ = 5184. Its totient is φ = 3120.

The previous prime is 4079. The next prime is 4091. The reversal of 4081 is 1804.

4081 = 14² + 15² + ... + 24².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4081 - 2¹ = 4079 is a prime.

It is a super-2 number, since 2×4081² = 33309122, which contains 22 as substring.

It is a Duffinian number.

4081 is a lucky number.

It is a nialpdrome in base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (4001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51 + ... + 103.

It is an arithmetic number, because the mean of its divisors is an integer number (648).

2⁴⁰⁸¹ is an apocalyptic number.

It is an amenable number.

4081 is a deficient number, since it is larger than the sum of its proper divisors (1103).

4081 is a wasteful number, since it uses less digits than its factorization.

4081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 4081 is about 63.8827050147. The cubic root of 4081 is about 15.9804448595.

Adding to 4081 its reverse (1804), we get a palindrome (5885).

It can be divided in two parts, 40 and 81, that multiplied together give a triangular number (3240 = T₈₀).

The spelling of 4081 in words is "four thousand, eighty-one".