211117887667 has 2 divisors, whose sum is σ = 211117887668. Its totient is φ = 211117887666.

The previous prime is 211117887653. The next prime is 211117887677. The reversal of 211117887667 is 766788711112.

211117887667 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 is a cyclic number.

It is not a de Polignac number, because 211117887667 - 2³⁵ = 176758149299 is a prime.

It is not a weakly prime, because it can be changed into another prime (211117887637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105558943833 + 105558943834.

It is an arithmetic number, because the mean of its divisors is an integer number (105558943834).

Almost surely, 2^211117887667 is an apocalyptic number.

211117887667 is a deficient number, since it is larger than the sum of its proper divisors (1).

211117887667 is an equidigital number, since it uses as much as digits as its factorization.

211117887667 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1580544, while the sum is 55.

The spelling of 211117887667 in words is "two hundred eleven billion, one hundred seventeen million, eight hundred eighty-seven thousand, six hundred sixty-seven".