4161 has 8 divisors (see below), whose sum is σ = 5920. Its totient is φ = 2592.

The previous prime is 4159. The next prime is 4177. The reversal of 4161 is 1614.

4161 is nontrivially palindromic in base 2, base 4 and base 8.

4161 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

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

It is not a de Polignac number, because 4161 - 2¹ = 4159 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is the 65-th Hogben number.

It is a Duffinian number.

4161 is an undulating number in base 8.

4161 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4111) by changing a digit.

It is a nontrivial repunit in base 64.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21 + ... + 93.

It is an arithmetic number, because the mean of its divisors is an integer number (740).

It is an amenable number.

4161 is a deficient number, since it is larger than the sum of its proper divisors (1759).

4161 is a wasteful number, since it uses less digits than its factorization.

4161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95.

The product of its digits is 24, while the sum is 12.

The square root of 4161 is about 64.5058136915. The cubic root of 4161 is about 16.0841916253.

Adding to 4161 its reverse (1614), we get a palindrome (5775).

The spelling of 4161 in words is "four thousand, one hundred sixty-one".