218301 has 4 divisors (see below), whose sum is σ = 291072. Its totient is φ = 145532.

The previous prime is 218287. The next prime is 218357. The reversal of 218301 is 103812.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 218301 - 2¹³ = 210109 is a prime.

It is a D-number.

It is an alternating number because its digits alternate between even and odd.

218301 is a lucky number.

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 218301.

It is not an unprimeable number, because it can be changed into a prime (218371) 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 3 ways as a sum of consecutive naturals, for example, 36381 + ... + 36386.

It is an arithmetic number, because the mean of its divisors is an integer number (72768).

2²¹⁸³⁰¹ is an apocalyptic number.

218301 is the 296-th centered pentagonal number.

It is an amenable number.

218301 is a deficient number, since it is larger than the sum of its proper divisors (72771).

218301 is an equidigital number, since it uses as much as digits as its factorization.

218301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72770.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 218301 is about 467.2269255940. The cubic root of 218301 is about 60.2123034569.

The spelling of 218301 in words is "two hundred eighteen thousand, three hundred one".