218871 has 12 divisors (see below), whose sum is σ = 321048. Its totient is φ = 143664.

The previous prime is 218857. The next prime is 218873. The reversal of 218871 is 178812.

It is not a de Polignac number, because 218871 - 2⁵ = 218839 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218873) 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, 601 + ... + 893.

It is an arithmetic number, because the mean of its divisors is an integer number (26754).

2²¹⁸⁸⁷¹ is an apocalyptic number.

218871 is a deficient number, since it is larger than the sum of its proper divisors (102177).

218871 is a wasteful number, since it uses less digits than its factorization.

218871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 379 counting only the distinct ones).

The product of its digits is 896, while the sum is 27.

The square root of 218871 is about 467.8365099049. The cubic root of 218871 is about 60.2646641648.

It can be divided in two parts, 218 and 871, that added together give a square (1089 = 33²).

The spelling of 218871 in words is "two hundred eighteen thousand, eight hundred seventy-one".