218352 has 20 divisors (see below), whose sum is σ = 564200. Its totient is φ = 72768.

The previous prime is 218287. The next prime is 218357. The reversal of 218352 is 253812.

218352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218357) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2227 + ... + 2322.

It is an arithmetic number, because the mean of its divisors is an integer number (28210).

2²¹⁸³⁵² is an apocalyptic number.

It is an amenable number.

218352 is an abundant number, since it is smaller than the sum of its proper divisors (345848).

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

218352 is a wasteful number, since it uses less digits than its factorization.

218352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560 (or 4554 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 218352 is about 467.2814997408. The cubic root of 218352 is about 60.2169920724.

The spelling of 218352 in words is "two hundred eighteen thousand, three hundred fifty-two".