133197 has 8 divisors (see below), whose sum is σ = 183840. Its totient is φ = 85680.

The previous prime is 133187. The next prime is 133201. The reversal of 133197 is 791331.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 133197 - 2⁷ = 133069 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

133197 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 679 + ... + 852.

It is an arithmetic number, because the mean of its divisors is an integer number (22980).

2¹³³¹⁹⁷ is an apocalyptic number.

It is an amenable number.

133197 is a deficient number, since it is larger than the sum of its proper divisors (50643).

133197 is a wasteful number, since it uses less digits than its factorization.

133197 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563.

The product of its digits is 567, while the sum is 24.

The square root of 133197 is about 364.9616418201. The cubic root of 133197 is about 51.0698773016.

The spelling of 133197 in words is "one hundred thirty-three thousand, one hundred ninety-seven".