8400629 has 2 divisors, whose sum is σ = 8400630. Its totient is φ = 8400628.

The previous prime is 8400619. The next prime is 8400631. The reversal of 8400629 is 9260048.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7711729 + 688900 = 2777^2 + 830^2 .

It is a cyclic number.

It is not a de Polignac number, because 8400629 - 2⁸ = 8400373 is a prime.

Together with 8400631, 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 (8400619) 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, 4200314 + 4200315.

It is an arithmetic number, because the mean of its divisors is an integer number (4200315).

Almost surely, 2^8400629 is an apocalyptic number.

It is an amenable number.

8400629 is a deficient number, since it is larger than the sum of its proper divisors (1).

8400629 is an equidigital number, since it uses as much as digits as its factorization.

8400629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 8400629 is about 2898.3838600158. The cubic root of 8400629 is about 203.2843451515.

The spelling of 8400629 in words is "eight million, four hundred thousand, six hundred twenty-nine".