198738 has 24 divisors (see below), whose sum is σ = 440076. Its totient is φ = 64800.

The previous prime is 198733. The next prime is 198761. The reversal of 198738 is 837891.

It can be written as a sum of positive squares in 2 ways, for example, as 127449 + 71289 = 357^2 + 267^2 .

It is not an unprimeable number, because it can be changed into a prime (198733) by changing a digit.

198738 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, 1008 + ... + 1188.

2¹⁹⁸⁷³⁸ is an apocalyptic number.

198738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

198738 is an abundant number, since it is smaller than the sum of its proper divisors (241338).

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

198738 is a wasteful number, since it uses less digits than its factorization.

198738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 247 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 198738 is about 445.8004037683. The cubic root of 198738 is about 58.3570914562.

It can be divided in two parts, 19873 and 8, that added together give a square (19881 = 141²).

The spelling of 198738 in words is "one hundred ninety-eight thousand, seven hundred thirty-eight".