198162 has 24 divisors (see below), whose sum is σ = 437580. Its totient is φ = 64800.

The previous prime is 198139. The next prime is 198173. The reversal of 198162 is 261891.

It can be written as a sum of positive squares in 2 ways, for example, as 168921 + 29241 = 411^2 + 171^2 .

It is an unprimeable number.

198162 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1764 + ... + 1872.

2¹⁹⁸¹⁶² is an apocalyptic number.

198162 is an abundant number, since it is smaller than the sum of its proper divisors (239418).

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

198162 is a wasteful number, since it uses less digits than its factorization.

198162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 215 counting only the distinct ones).

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

The square root of 198162 is about 445.1539059696. The cubic root of 198162 is about 58.3006583448.

Subtracting from 198162 its sum of digits (27), we obtain a triangular number (198135 = T₆₂₉).

The spelling of 198162 in words is "one hundred ninety-eight thousand, one hundred sixty-two".