4116041 has 2 divisors, whose sum is σ = 4116042. Its totient is φ = 4116040.

The previous prime is 4116029. The next prime is 4116043. The reversal of 4116041 is 1406114.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2627641 + 1488400 = 1621^2 + 1220^2 .

It is a cyclic number.

It is not a de Polignac number, because 4116041 - 2¹⁰ = 4115017 is a prime.

It is a Sophie Germain prime.

Together with 4116043, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (4116043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2058020 + 2058021.

It is an arithmetic number, because the mean of its divisors is an integer number (2058021).

Almost surely, 2^4116041 is an apocalyptic number.

It is an amenable number.

4116041 is a deficient number, since it is larger than the sum of its proper divisors (1).

4116041 is an equidigital number, since it uses as much as digits as its factorization.

4116041 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 4116041 is about 2028.8028489728. The cubic root of 4116041 is about 160.2605260791.

The spelling of 4116041 in words is "four million, one hundred sixteen thousand, forty-one".