218412 has 18 divisors (see below), whose sum is σ = 552188. Its totient is φ = 72792.

The previous prime is 218401. The next prime is 218417. The reversal of 218412 is 214812.

218412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (218417) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2998 + ... + 3069.

2²¹⁸⁴¹² is an apocalyptic number.

It is an amenable number.

218412 is an abundant number, since it is smaller than the sum of its proper divisors (333776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

218412 is a wasteful number, since it uses less digits than its factorization.

218412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6077 (or 6072 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 218412 is about 467.3456964603. The cubic root of 218412 is about 60.2225071561. Note that the first 3 decimals are identical.

Subtracting from 218412 its reverse (214812), we obtain a square (3600 = 60²).

It can be divided in two parts, 218 and 412, that added together give a triangular number (630 = T₃₅).

The spelling of 218412 in words is "two hundred eighteen thousand, four hundred twelve".