4164101 has 2 divisors, whose sum is σ = 4164102. Its totient is φ = 4164100.

The previous prime is 4164071. The next prime is 4164107. The reversal of 4164101 is 1014614.

4164101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3996001 + 168100 = 1999^2 + 410^2 .

It is a cyclic number.

It is not a de Polignac number, because 4164101 - 2¹⁰ = 4163077 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4164101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4164107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2082050 + 2082051.

It is an arithmetic number, because the mean of its divisors is an integer number (2082051).

Almost surely, 2^4164101 is an apocalyptic number.

It is an amenable number.

4164101 is a deficient number, since it is larger than the sum of its proper divisors (1).

4164101 is an equidigital number, since it uses as much as digits as its factorization.

4164101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 4164101 is about 2040.6128981264. The cubic root of 4164101 is about 160.8818623337.

Adding to 4164101 its reverse (1014614), we get a palindrome (5178715).

The spelling of 4164101 in words is "four million, one hundred sixty-four thousand, one hundred one".