198218241 has 45 divisors (see below), whose sum is σ = 327257619. Its totient is φ = 115560432.

The previous prime is 198218221. The next prime is 198218263. The reversal of 198218241 is 142812891.

It is a happy number.

The square root of 198218241 is 14079.

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

It can be written as a sum of positive squares in only one way, i.e., 29322225 + 168896016 = 5415^2 + 12996^2 .

It is not a de Polignac number, because 198218241 - 2²¹ = 196121089 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 198218196 and 198218205.

It is not an unprimeable number, because it can be changed into a prime (198218201) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10432530 + ... + 10432548.

Almost surely, 2^198218241 is an apocalyptic number.

198218241 is the 14079-th square number.

198218241 is the 7040-th centered octagonal number.

It is an amenable number.

198218241 is a deficient number, since it is larger than the sum of its proper divisors (129039378).

198218241 is an frugal number, since it uses more digits than its factorization.

198218241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 35 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The cubic root of 198218241 is about 583.0617332270.

Multiplying 198218241 by its sum of digits (36), we get a square (7135856676 = 84474²).

Multiplying 198218241 by its product of digits (9216), we get a square (1826779309056 = 1351584²).

The spelling of 198218241 in words is "one hundred ninety-eight million, two hundred eighteen thousand, two hundred forty-one".