33197 has 4 divisors (see below), whose sum is σ = 33660. Its totient is φ = 32736.

The previous prime is 33191. The next prime is 33199. The reversal of 33197 is 79133.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 11881 + 21316 = 109^2 + 146^2 .

It is a cyclic number.

It is not a de Polignac number, because 33197 - 2⁴ = 33181 is a prime.

It is a super-2 number, since 2×33197² = 2204081618, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33197.

It is not an unprimeable number, because it can be changed into a prime (33191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98 + ... + 275.

It is an arithmetic number, because the mean of its divisors is an integer number (8415).

2³³¹⁹⁷ is an apocalyptic number.

It is an amenable number.

33197 is a deficient number, since it is larger than the sum of its proper divisors (463).

33197 is an equidigital number, since it uses as much as digits as its factorization.

33197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462.

The product of its digits is 567, while the sum is 23.

The square root of 33197 is about 182.2004390774. The cubic root of 33197 is about 32.1390434041.

It can be divided in two parts, 3 and 3197, that multiplied together give a triangular number (9591 = T₁₃₈).

The spelling of 33197 in words is "thirty-three thousand, one hundred ninety-seven".