197200 has 60 divisors (see below), whose sum is σ = 518940. Its totient is φ = 71680.

The previous prime is 197161. The next prime is 197203. The reversal of 197200 is 2791.

It can be written as a sum of positive squares in 6 ways, for example, as 64 + 197136 = 8^2 + 444^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197203) 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 in 11 ways as a sum of consecutive naturals, for example, 6786 + ... + 6814.

It is an arithmetic number, because the mean of its divisors is an integer number (8649).

2¹⁹⁷²⁰⁰ is an apocalyptic number.

197200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259470).

197200 is an abundant number, since it is smaller than the sum of its proper divisors (321740).

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

197200 is a wasteful number, since it uses less digits than its factorization.

197200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 197200 is about 444.0720662235. The cubic root of 197200 is about 58.2061628709.

Adding to 197200 its reverse (2791), we get a palindrome (199991).

The spelling of 197200 in words is "one hundred ninety-seven thousand, two hundred".