218364 has 24 divisors (see below), whose sum is σ = 526848. Its totient is φ = 70320.

The previous prime is 218363. The next prime is 218371. The reversal of 218364 is 463812.

218364 = T₅₁ + T₅₂ + ... + T₁₁₂.

It is a happy number.

218364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 218364.

It is not an unprimeable number, because it can be changed into a prime (218363) 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 7 ways as a sum of consecutive naturals, for example, 79 + ... + 665.

It is an arithmetic number, because the mean of its divisors is an integer number (21952).

2²¹⁸³⁶⁴ is an apocalyptic number.

It is an amenable number.

218364 is an abundant number, since it is smaller than the sum of its proper divisors (308484).

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

218364 is a wasteful number, since it uses less digits than its factorization.

218364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 623 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 218364 is about 467.2943397902. The cubic root of 218364 is about 60.2180951700.

It can be divided in two parts, 21 and 8364, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 218364 in words is "two hundred eighteen thousand, three hundred sixty-four".