33967 has 2 divisors, whose sum is σ = 33968. Its totient is φ = 33966.

The previous prime is 33961. The next prime is 33997. The reversal of 33967 is 76933.

33967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

33967 is a truncatable prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33967 is a prime.

It is a plaindrome in base 11.

It is a nialpdrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16983 + 16984.

It is an arithmetic number, because the mean of its divisors is an integer number (16984).

2³³⁹⁶⁷ is an apocalyptic number.

33967 is a deficient number, since it is larger than the sum of its proper divisors (1).

33967 is an equidigital number, since it uses as much as digits as its factorization.

33967 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3402, while the sum is 28.

The square root of 33967 is about 184.3013836085. The cubic root of 33967 is about 32.3856335230.

It can be divided in two parts, 3396 and 7, that added together give a triangular number (3403 = T₈₂).

The spelling of 33967 in words is "thirty-three thousand, nine hundred sixty-seven".