197000 has 32 divisors (see below), whose sum is σ = 463320. Its totient is φ = 78400.

The previous prime is 196993. The next prime is 197003. The reversal of 197000 is 791.

It can be written as a sum of positive squares in 4 ways, for example, as 119716 + 77284 = 346^2 + 278^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 197000.

It is not an unprimeable number, because it can be changed into a prime (197003) by changing a digit.

197000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 902 + ... + 1098.

2¹⁹⁷⁰⁰⁰ is an apocalyptic number.

197000 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 197000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231660).

197000 is an abundant number, since it is smaller than the sum of its proper divisors (266320).

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

197000 is a wasteful number, since it uses less digits than its factorization.

197000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 17.

The square root of 197000 is about 443.8468204234. The cubic root of 197000 is about 58.1864786750.

Adding to 197000 its reverse (791), we get a palindrome (197791).

The spelling of 197000 in words is "one hundred ninety-seven thousand".