4159 has 2 divisors, whose sum is σ = 4160. Its totient is φ = 4158.

The previous prime is 4157. The next prime is 4177. The reversal of 4159 is 9514.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 4159 - 2¹ = 4157 is a prime.

Together with 4157, it forms a pair of twin primes.

It is a d-powerful number, because it can be written as 4⁵ + 5⁵ + 1 + 9 .

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2079 + 2080.

It is an arithmetic number, because the mean of its divisors is an integer number (2080).

2⁴¹⁵⁹ is an apocalyptic number.

4159 is a deficient number, since it is larger than the sum of its proper divisors (1).

4159 is an equidigital number, since it uses as much as digits as its factorization.

4159 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 180, while the sum is 19.

The square root of 4159 is about 64.4903093495. The cubic root of 4159 is about 16.0816142369.

It can be divided in two parts, 415 and 9, that added together give a palindrome (424).

The spelling of 4159 in words is "four thousand, one hundred fifty-nine".