10005629 has 2 divisors, whose sum is σ = 10005630. Its totient is φ = 10005628.

The previous prime is 10005623. The next prime is 10005631. The reversal of 10005629 is 92650001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8791225 + 1214404 = 2965^2 + 1102^2 .

It is a cyclic number.

It is not a de Polignac number, because 10005629 - 2¹² = 10001533 is a prime.

It is a super-2 number, since 2×10005629² = 200225223371282, which contains 22 as substring.

Together with 10005631, 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 (10005623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002814 + 5002815.

It is an arithmetic number, because the mean of its divisors is an integer number (5002815).

Almost surely, 2^10005629 is an apocalyptic number.

It is an amenable number.

10005629 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005629 is an equidigital number, since it uses as much as digits as its factorization.

10005629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 10005629 is about 3163.1675580026. The cubic root of 10005629 is about 215.4838857968.

The spelling of 10005629 in words is "ten million, five thousand, six hundred twenty-nine".