4163 has 4 divisors (see below), whose sum is σ = 4368. Its totient is φ = 3960.

The previous prime is 4159. The next prime is 4177. The reversal of 4163 is 3614.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 4163 - 2² = 4159 is a prime.

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

It is a Duffinian number.

It is a plaindrome in base 12 and base 15.

It is not an unprimeable number, because it can be changed into a prime (4133) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68 + ... + 113.

It is an arithmetic number, because the mean of its divisors is an integer number (1092).

4163 is a deficient number, since it is larger than the sum of its proper divisors (205).

4163 is a wasteful number, since it uses less digits than its factorization.

4163 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204.

The product of its digits is 72, while the sum is 14.

The square root of 4163 is about 64.5213143078. The cubic root of 4163 is about 16.0867681878.

Adding to 4163 its reverse (3614), we get a palindrome (7777).

The spelling of 4163 in words is "four thousand, one hundred sixty-three".