8197 has 4 divisors (see below), whose sum is σ = 9376. Its totient is φ = 7020.

The previous prime is 8191. The next prime is 8209. The reversal of 8197 is 7918.

8197 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 8197 - 2⁷ = 8069 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 579 + ... + 592.

It is an arithmetic number, because the mean of its divisors is an integer number (2344).

2⁸¹⁹⁷ is an apocalyptic number.

It is an amenable number.

8197 is a deficient number, since it is larger than the sum of its proper divisors (1179).

8197 is a wasteful number, since it uses less digits than its factorization.

8197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178.

The product of its digits is 504, while the sum is 25.

The square root of 8197 is about 90.5372851371. The cubic root of 8197 is about 20.1628372697.

The spelling of 8197 in words is "eight thousand, one hundred ninety-seven".