211404311 has 2 divisors, whose sum is σ = 211404312. Its totient is φ = 211404310.

The previous prime is 211404253. The next prime is 211404313. The reversal of 211404311 is 113404112.

It is a happy number.

211404311 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 211404311 - 2¹⁰ = 211403287 is a prime.

Together with 211404313, 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 211404311.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211404313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105702155 + 105702156.

It is an arithmetic number, because the mean of its divisors is an integer number (105702156).

Almost surely, 2^211404311 is an apocalyptic number.

211404311 is a deficient number, since it is larger than the sum of its proper divisors (1).

211404311 is an equidigital number, since it uses as much as digits as its factorization.

211404311 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 211404311 is about 14539.7493444695. The cubic root of 211404311 is about 595.7141917107.

Adding to 211404311 its reverse (113404112), we get a palindrome (324808423).

The spelling of 211404311 in words is "two hundred eleven million, four hundred four thousand, three hundred eleven".