218418841 has 3 divisors (see below), whose sum is σ = 218433621. Its totient is φ = 218404062.

The previous prime is 218418829. The next prime is 218418853. The reversal of 218418841 is 148814812.

The square root of 218418841 is 14779.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is an interprime number because it is at equal distance from previous prime (218418829) and next prime (218418853).

It is not a de Polignac number, because 218418841 - 2⁷ = 218418713 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 218418841.

It is not an unprimeable number, because it can be changed into a prime (218418821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 7390 + ... + 22168.

It is an arithmetic number, because the mean of its divisors is an integer number (72811207).

Almost surely, 2^218418841 is an apocalyptic number.

218418841 is the 14779-th square number.

218418841 is the 7390-th centered octagonal number.

It is an amenable number.

218418841 is a deficient number, since it is larger than the sum of its proper divisors (14780).

218418841 is an frugal number, since it uses more digits than its factorization.

218418841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29558 (or 14779 counting only the distinct ones).

The product of its digits is 16384, while the sum is 37.

The cubic root of 218418841 is about 602.2313590338.

Multiplying 218418841 by its product of digits (16384), we get a square (3578574290944 = 1891712²).

It can be divided in two parts, 2184 and 18841, that added together give a square (21025 = 145²).

The spelling of 218418841 in words is "two hundred eighteen million, four hundred eighteen thousand, eight hundred forty-one".