211457117 has 2 divisors, whose sum is σ = 211457118. Its totient is φ = 211457116.

The previous prime is 211457111. The next prime is 211457119. The reversal of 211457117 is 711754112.

211457117 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., 211237156 + 219961 = 14534^2 + 469^2 .

It is a cyclic number.

It is not a de Polignac number, because 211457117 - 2¹⁰ = 211456093 is a prime.

It is a super-2 number, since 2×211457117² = 89428224659903378, which contains 22 as substring.

Together with 211457119, 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 211457117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211457111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105728558 + 105728559.

It is an arithmetic number, because the mean of its divisors is an integer number (105728559).

Almost surely, 2^211457117 is an apocalyptic number.

It is an amenable number.

211457117 is a deficient number, since it is larger than the sum of its proper divisors (1).

211457117 is an equidigital number, since it uses as much as digits as its factorization.

211457117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1960, while the sum is 29.

The square root of 211457117 is about 14541.5651495979. The cubic root of 211457117 is about 595.7637880893.

The spelling of 211457117 in words is "two hundred eleven million, four hundred fifty-seven thousand, one hundred seventeen".