218832849 has 9 divisors (see below), whose sum is σ = 316156009. Its totient is φ = 145858980.

The previous prime is 218832847. The next prime is 218832881. The reversal of 218832849 is 948238812.

The square root of 218832849 is 14793.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 218832849 - 2¹ = 218832847 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (218832847) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41914 + ... + 46844.

Almost surely, 2^218832849 is an apocalyptic number.

218832849 is the 14793-rd square number.

218832849 is the 7397-th centered octagonal number.

It is an amenable number.

218832849 is a deficient number, since it is larger than the sum of its proper divisors (97323160).

218832849 is an frugal number, since it uses more digits than its factorization.

218832849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9868 (or 4934 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The cubic root of 218832849 is about 602.6116242050.

The spelling of 218832849 in words is "two hundred eighteen million, eight hundred thirty-two thousand, eight hundred forty-nine".