8627 has 2 divisors, whose sum is σ = 8628. Its totient is φ = 8626.

The previous prime is 8623. The next prime is 8629. The reversal of 8627 is 7268.

8627 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 8627 - 2² = 8623 is a prime.

Together with 8629, it forms a pair of twin primes.

It is a Chen prime.

It is a nialpdrome in base 11.

It is not a weakly prime, because it can be changed into another prime (8623) 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, 4313 + 4314.

It is an arithmetic number, because the mean of its divisors is an integer number (4314).

2⁸⁶²⁷ is an apocalyptic number.

8627 is a deficient number, since it is larger than the sum of its proper divisors (1).

8627 is an equidigital number, since it uses as much as digits as its factorization.

8627 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 672, while the sum is 23.

The square root of 8627 is about 92.8816451189. The cubic root of 8627 is about 20.5094146723.

The spelling of 8627 in words is "eight thousand, six hundred twenty-seven".