8429 has 2 divisors, whose sum is σ = 8430. Its totient is φ = 8428.

The previous prime is 8423. The next prime is 8431. The reversal of 8429 is 9248.

8429 = 52² + 53² + 54².

8429 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5929 + 2500 = 77^2 + 50^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8429 is a prime.

Together with 8431, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8423) 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, 4214 + 4215.

It is an arithmetic number, because the mean of its divisors is an integer number (4215).

2⁸⁴²⁹ is an apocalyptic number.

It is an amenable number.

8429 is a deficient number, since it is larger than the sum of its proper divisors (1).

8429 is an equidigital number, since it uses as much as digits as its factorization.

8429 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 23.

The square root of 8429 is about 91.8095855562. The cubic root of 8429 is about 20.3512935165.

The spelling of 8429 in words is "eight thousand, four hundred twenty-nine".