211164641 has 2 divisors, whose sum is σ = 211164642. Its totient is φ = 211164640.

The previous prime is 211164623. The next prime is 211164643. The reversal of 211164641 is 146461112.

211164641 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., 161391616 + 49773025 = 12704^2 + 7055^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211164641 is a prime.

Together with 211164643, it forms a pair of twin primes.

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 211164641.

It is not a weakly prime, because it can be changed into another prime (211164643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105582320 + 105582321.

It is an arithmetic number, because the mean of its divisors is an integer number (105582321).

Almost surely, 2^211164641 is an apocalyptic number.

It is an amenable number.

211164641 is a deficient number, since it is larger than the sum of its proper divisors (1).

211164641 is an equidigital number, since it uses as much as digits as its factorization.

211164641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1152, while the sum is 26.

The square root of 211164641 is about 14531.5051181906. The cubic root of 211164641 is about 595.4889853143.

The spelling of 211164641 in words is "two hundred eleven million, one hundred sixty-four thousand, six hundred forty-one".