198237 has 24 divisors (see below), whose sum is σ = 316224. Its totient is φ = 109824.

The previous prime is 198223. The next prime is 198241. The reversal of 198237 is 732891.

It is a happy number.

198237 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 198237 - 2⁴ = 198221 is a prime.

Its product of digits (3024) is a multiple of the sum of its prime divisors (56).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198237.

It is not an unprimeable number, because it can be changed into a prime (198257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8608 + ... + 8630.

It is an arithmetic number, because the mean of its divisors is an integer number (13176).

2¹⁹⁸²³⁷ is an apocalyptic number.

198237 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

198237 is a deficient number, since it is larger than the sum of its proper divisors (117987).

198237 is a wasteful number, since it uses less digits than its factorization.

198237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 56 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 198237 is about 445.2381385281. The cubic root of 198237 is about 58.3080125934.

It can be divided in two parts, 198 and 237, that added together give a triangular number (435 = T₂₉).

The spelling of 198237 in words is "one hundred ninety-eight thousand, two hundred thirty-seven".