218872 has 16 divisors (see below), whose sum is σ = 415800. Its totient is φ = 108000.

The previous prime is 218857. The next prime is 218873. The reversal of 218872 is 278812.

It is a self number, because there is not a number n which added to its sum of digits gives 218872.

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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 747 + ... + 997.

2²¹⁸⁸⁷² is an apocalyptic number.

It is an amenable number.

218872 is a deficient number, since it is larger than the sum of its proper divisors (196928).

218872 is a wasteful number, since it uses less digits than its factorization.

218872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 362 counting only the distinct ones).

The product of its digits is 1792, while the sum is 28.

The square root of 218872 is about 467.8375786531. The cubic root of 218872 is about 60.2647559457.

It can be divided in two parts, 218 and 872, that multiplied together give a square (190096 = 436²).

The spelling of 218872 in words is "two hundred eighteen thousand, eight hundred seventy-two".