9629 has 2 divisors, whose sum is σ = 9630.
Its totient is φ = 9628.
The previous prime is 9623. The next prime is 9631. The reversal of 9629 is 9269.
Adding to 9629 its product of digits (972), we get a palindrome (10601).
It can be divided in two parts, 96 and 29, that added together give a cube (125 = 53).
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 9604 + 25 = 98^2 + 5^2
It is a cyclic number.
It is not a de Polignac number, because 9629 - 24 = 9613 is a prime.
It is a Sophie Germain prime.
Together with 9631, it forms a pair of twin primes.
It is a Chen prime.
It is a Curzon number.
It is a plaindrome in base 16.
It is a junction number, because it is equal to n+sod(n) for n = 9598 and 9607.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (9623) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4814 + 4815.
It is an arithmetic number, because the mean of its divisors is an integer number (4815).
29629 is an apocalyptic number.
It is an amenable number.
9629 is a deficient number, since it is larger than the sum of its proper divisors (1).
9629 is an equidigital number, since it uses as much as digits as its factorization.
9629 is an evil number, because the sum of its binary digits is even.
The product of its digits is 972, while the sum is 26.
The square root of 9629 is about 98.1274681218.
The cubic root of 9629 is about 21.2745506332.
The spelling of 9629 in words is "nine thousand, six hundred twenty-nine".