27967 has 2 divisors, whose sum is σ = 27968. Its totient is φ = 27966.

The previous prime is 27961. The next prime is 27983. The reversal of 27967 is 76972.

It is a happy number.

27967 is nontrivially palindromic in base 9.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 27967 - 2¹¹ = 25919 is a prime.

It is a Chen prime.

It is a pancake number, because a pancake can be divided into 27967 parts by 236 straight cuts.

It is a nialpdrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13983 + 13984.

It is an arithmetic number, because the mean of its divisors is an integer number (13984).

2²⁷⁹⁶⁷ is an apocalyptic number.

27967 is a deficient number, since it is larger than the sum of its proper divisors (1).

27967 is an equidigital number, since it uses as much as digits as its factorization.

27967 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5292, while the sum is 31.

The square root of 27967 is about 167.2333698758. The cubic root of 27967 is about 30.3539555724.

The spelling of 27967 in words is "twenty-seven thousand, nine hundred sixty-seven".