33287 has 2 divisors, whose sum is σ = 33288. Its totient is φ = 33286.

The previous prime is 33247. The next prime is 33289. The reversal of 33287 is 78233.

It is a strong prime.

It is an emirp because it is prime and its reverse (78233) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33287 - 2⁶ = 33223 is a prime.

It is a super-2 number, since 2×33287² = 2216048738, which contains 22 as substring.

Together with 33289, it forms a pair of twin primes.

It is a Chen 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 33287.

It is not a weakly prime, because it can be changed into another prime (33289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16643 + 16644.

It is an arithmetic number, because the mean of its divisors is an integer number (16644).

2³³²⁸⁷ is an apocalyptic number.

33287 is a deficient number, since it is larger than the sum of its proper divisors (1).

33287 is an equidigital number, since it uses as much as digits as its factorization.

33287 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008, while the sum is 23.

The square root of 33287 is about 182.4472526513. The cubic root of 33287 is about 32.1680611254.

The spelling of 33287 in words is "thirty-three thousand, two hundred eighty-seven".