218652 has 48 divisors (see below), whose sum is σ = 618240. Its totient is φ = 58752.

The previous prime is 218651. The next prime is 218657. The reversal of 218652 is 256812.

218652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 15.

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 (218651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1528 + ... + 1664.

It is an arithmetic number, because the mean of its divisors is an integer number (12880).

2²¹⁸⁶⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309120).

218652 is an abundant number, since it is smaller than the sum of its proper divisors (399588).

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

218652 is a wasteful number, since it uses less digits than its factorization.

218652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 168 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 218652 is about 467.6023952034. The cubic root of 218652 is about 60.2445573959.

The spelling of 218652 in words is "two hundred eighteen thousand, six hundred fifty-two".