211871 has 12 divisors (see below), whose sum is σ = 248976. Its totient is φ = 179520.

The previous prime is 211867. The next prime is 211873. The reversal of 211871 is 178112.

It is not a de Polignac number, because 211871 - 2² = 211867 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2006 + ... + 2108.

It is an arithmetic number, because the mean of its divisors is an integer number (20748).

2²¹¹⁸⁷¹ is an apocalyptic number.

211871 is a deficient number, since it is larger than the sum of its proper divisors (37105).

211871 is a wasteful number, since it uses less digits than its factorization.

211871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its digits is 112, while the sum is 20.

The square root of 211871 is about 460.2944709640. The cubic root of 211871 is about 59.6152229031.

Adding to 211871 its reverse (178112), we get a palindrome (389983).

The spelling of 211871 in words is "two hundred eleven thousand, eight hundred seventy-one".