8629 has 2 divisors, whose sum is σ = 8630.
Its totient is φ = 8628.
The previous prime is 8627. The next prime is 8641. The reversal of 8629 is 9268.
8629 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.
It can be written as a sum of positive squares in only one way, i.e., 8100 + 529 = 90^2 + 23^2
It is a cyclic number.
It is not a de Polignac number, because 8629 - 21 = 8627 is a prime.
Together with 8627, it forms a pair of twin primes.
It is a congruent number.
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, 4314 + 4315.
It is an arithmetic number, because the mean of its divisors is an integer number (4315).
28629 is an apocalyptic number.
It is an amenable number.
8629 is a deficient number, since it is larger than the sum of its proper divisors (1).
8629 is an equidigital number, since it uses as much as digits as its factorization.
8629 is an odious number, because the sum of its binary digits is odd.
The product of its digits is 864, while the sum is 25.
The square root of 8629 is about 92.8924108849.
The cubic root of 8629 is about 20.5109994511.
The spelling of 8629 in words is "eight thousand, six hundred twenty-nine".