218953 has 8 divisors (see below), whose sum is σ = 258560. Its totient is φ = 181440.

The previous prime is 218947. The next prime is 218963. The reversal of 218953 is 359812.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 218953 - 2¹³ = 210761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (218923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288 + ... + 721.

It is an arithmetic number, because the mean of its divisors is an integer number (32320).

2²¹⁸⁹⁵³ is an apocalyptic number.

It is an amenable number.

218953 is a deficient number, since it is larger than the sum of its proper divisors (39607).

218953 is a wasteful number, since it uses less digits than its factorization.

218953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047.

The product of its digits is 2160, while the sum is 28.

The square root of 218953 is about 467.9241391508. The cubic root of 218953 is about 60.2721892754.

The spelling of 218953 in words is "two hundred eighteen thousand, nine hundred fifty-three".