198216 has 24 divisors (see below), whose sum is σ = 537030. Its totient is φ = 66048.

The previous prime is 198197. The next prime is 198221. The reversal of 198216 is 612891.

It can be written as a sum of positive squares in only one way, i.e., 125316 + 72900 = 354^2 + 270^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 198216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1305 + ... + 1448.

2¹⁹⁸²¹⁶ is an apocalyptic number.

It is an amenable number.

198216 is an abundant number, since it is smaller than the sum of its proper divisors (338814).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198216 is a wasteful number, since it uses less digits than its factorization.

198216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2758 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 198216 is about 445.2145550181. The cubic root of 198216 is about 58.3059535908.

It can be divided in two parts, 198 and 216, that added together give a palindrome (414).

The spelling of 198216 in words is "one hundred ninety-eight thousand, two hundred sixteen".