33997 has 2 divisors, whose sum is σ = 33998. Its totient is φ = 33996.

The previous prime is 33967. The next prime is 34019. The reversal of 33997 is 79933.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30276 + 3721 = 174^2 + 61^2 .

It is a cyclic number.

It is not a de Polignac number, because 33997 - 2¹⁵ = 1229 is a prime.

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 33997.

It is not a weakly prime, because it can be changed into another prime (33937) 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 as a sum of consecutive naturals, namely, 16998 + 16999.

It is an arithmetic number, because the mean of its divisors is an integer number (16999).

2³³⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

33997 is a deficient number, since it is larger than the sum of its proper divisors (1).

33997 is an equidigital number, since it uses as much as digits as its factorization.

33997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5103, while the sum is 31.

The square root of 33997 is about 184.3827540742. The cubic root of 33997 is about 32.3951651577.

The spelling of 33997 in words is "thirty-three thousand, nine hundred ninety-seven".