33397 has 8 divisors (see below), whose sum is σ = 41216. Its totient is φ = 26352.

The previous prime is 33391. The next prime is 33403. The reversal of 33397 is 79333.

It is an interprime number because it is at equal distance from previous prime (33391) and next prime (33403).

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33397 is a prime.

It is a super-2 number, since 2×33397² = 2230719218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33391) 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 7 ways as a sum of consecutive naturals, for example, 93 + ... + 274.

It is an arithmetic number, because the mean of its divisors is an integer number (5152).

2³³³⁹⁷ is an apocalyptic number.

It is an amenable number.

33397 is a deficient number, since it is larger than the sum of its proper divisors (7819).

33397 is a wasteful number, since it uses less digits than its factorization.

33397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387.

The product of its digits is 1701, while the sum is 25.

The square root of 33397 is about 182.7484610058. The cubic root of 33397 is about 32.2034562858.

The spelling of 33397 in words is "thirty-three thousand, three hundred ninety-seven".