4001111 has 2 divisors, whose sum is σ = 4001112. Its totient is φ = 4001110.

The previous prime is 4001089. The next prime is 4001117. The reversal of 4001111 is 1111004.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4001111 - 2¹⁸ = 3738967 is a prime.

It is a Chen prime.

4001111 is a modest number, since divided by 1111 gives 400 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4001117) 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, 2000555 + 2000556.

It is an arithmetic number, because the mean of its divisors is an integer number (2000556).

Almost surely, 2^4001111 is an apocalyptic number.

4001111 is a deficient number, since it is larger than the sum of its proper divisors (1).

4001111 is an equidigital number, since it uses as much as digits as its factorization.

4001111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 4001111 is about 2000.2777307164. The cubic root of 4001111 is about 158.7548005244.

Adding to 4001111 its reverse (1111004), we get a palindrome (5112115).

The spelling of 4001111 in words is "four million, one thousand, one hundred eleven".