198736 has 10 divisors (see below), whose sum is σ = 385082. Its totient is φ = 99360.

The previous prime is 198733. The next prime is 198761. The reversal of 198736 is 637891.

It can be written as a sum of positive squares in only one way, i.e., 197136 + 1600 = 444^2 + 40^2 .

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6195 + ... + 6226.

2¹⁹⁸⁷³⁶ is an apocalyptic number.

198736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

198736 is a deficient number, since it is larger than the sum of its proper divisors (186346).

198736 is a wasteful number, since it uses less digits than its factorization.

198736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12429 (or 12423 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The square root of 198736 is about 445.7981606063. The cubic root of 198736 is about 58.3568956967.

The spelling of 198736 in words is "one hundred ninety-eight thousand, seven hundred thirty-six".