4116991 has 2 divisors, whose sum is σ = 4116992. Its totient is φ = 4116990.

The previous prime is 4116989. The next prime is 4116997. The reversal of 4116991 is 1996114.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 4116991 - 2¹ = 4116989 is a prime.

It is a super-2 number, since 2×4116991² = 33899229788162, which contains 22 as substring.

Together with 4116989, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₂₉₀₈₈₄ and since 4116991 and 290884 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4116997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2058495 + 2058496.

It is an arithmetic number, because the mean of its divisors is an integer number (2058496).

Almost surely, 2^4116991 is an apocalyptic number.

4116991 is a deficient number, since it is larger than the sum of its proper divisors (1).

4116991 is an equidigital number, since it uses as much as digits as its factorization.

4116991 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 31.

The square root of 4116991 is about 2029.0369636850. The cubic root of 4116991 is about 160.2728547373.

Multiplying 4116991 by its sum of digits (31), we get a palindrome (127626721).

The spelling of 4116991 in words is "four million, one hundred sixteen thousand, nine hundred ninety-one".