10197 has 12 divisors (see below), whose sum is σ = 16224. Its totient is φ = 6120.

The previous prime is 10193. The next prime is 10211. The reversal of 10197 is 79101.

It is not a de Polignac number, because 10197 - 2² = 10193 is a prime.

10197 is a lucky number.

It is a nialpdrome in base 11.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48 + ... + 150.

It is an arithmetic number, because the mean of its divisors is an integer number (1352).

2¹⁰¹⁹⁷ is an apocalyptic number.

It is an amenable number.

10197 is a deficient number, since it is larger than the sum of its proper divisors (6027).

10197 is a wasteful number, since it uses less digits than its factorization.

10197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 10197 is about 100.9801960782. The cubic root of 10197 is about 21.6849024647.

Multiplying 10197 by its product of nonzero digits (63), we get a triangular number (642411 = T₁₁₃₃).

Adding to 10197 its reverse (79101), we get a palindrome (89298).

The spelling of 10197 in words is "ten thousand, one hundred ninety-seven".