211385853 has 36 divisors (see below), whose sum is σ = 357680700. Its totient is φ = 119943936.

The previous prime is 211385833. The next prime is 211385861. The reversal of 211385853 is 358583112.

It can be written as a sum of positive squares in 2 ways, for example, as 108930969 + 102454884 = 10437^2 + 10122^2 .

It is not a de Polignac number, because 211385853 - 2⁵ = 211385821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211385813) 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 in 35 ways as a sum of consecutive naturals, for example, 64101 + ... + 67317.

It is an arithmetic number, because the mean of its divisors is an integer number (9935575).

Almost surely, 2^211385853 is an apocalyptic number.

It is an amenable number.

211385853 is a deficient number, since it is larger than the sum of its proper divisors (146294847).

211385853 is a wasteful number, since it uses less digits than its factorization.

211385853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3376 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 211385853 is about 14539.1145878970. The cubic root of 211385853 is about 595.6968536653.

The spelling of 211385853 in words is "two hundred eleven million, three hundred eighty-five thousand, eight hundred fifty-three".