218064289 has 3 divisors (see below), whose sum is σ = 218079057. Its totient is φ = 218049522.

The previous prime is 218064277. The next prime is 218064293. The reversal of 218064289 is 982460812.

The square root of 218064289 is 14767.

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 not a de Polignac number, because 218064289 - 2⁵ = 218064257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (218064299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 7384 + ... + 22150.

It is an arithmetic number, because the mean of its divisors is an integer number (72693019).

Almost surely, 2^218064289 is an apocalyptic number.

218064289 is the 14767-th square number.

218064289 is the 7384-th centered octagonal number.

It is an amenable number.

218064289 is a deficient number, since it is larger than the sum of its proper divisors (14768).

218064289 is an frugal number, since it uses more digits than its factorization.

218064289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29534 (or 14767 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The cubic root of 218064289 is about 601.9053218801.

The spelling of 218064289 in words is "two hundred eighteen million, sixty-four thousand, two hundred eighty-nine".