8685629 has 2 divisors, whose sum is σ = 8685630. Its totient is φ = 8685628.

The previous prime is 8685619. The next prime is 8685631. The reversal of 8685629 is 9265868.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8323225 + 362404 = 2885^2 + 602^2 .

It is a cyclic number.

It is not a de Polignac number, because 8685629 - 2⁸ = 8685373 is a prime.

It is a super-2 number, since 2×8685629² = 150880302251282, which contains 22 as substring.

Together with 8685631, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8685629.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8685619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4342814 + 4342815.

It is an arithmetic number, because the mean of its divisors is an integer number (4342815).

Almost surely, 2^8685629 is an apocalyptic number.

It is an amenable number.

8685629 is a deficient number, since it is larger than the sum of its proper divisors (1).

8685629 is an equidigital number, since it uses as much as digits as its factorization.

8685629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 207360, while the sum is 44.

The square root of 8685629 is about 2947.1391212496. The cubic root of 8685629 is about 205.5577040708.

The spelling of 8685629 in words is "eight million, six hundred eighty-five thousand, six hundred twenty-nine".