10006629 has 8 divisors (see below), whose sum is σ = 13626240. Its totient is φ = 6529056.

The previous prime is 10006627. The next prime is 10006631. The reversal of 10006629 is 92660001.

It is an interprime number because it is at equal distance from previous prime (10006627) and next prime (10006631).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10006629 - 2¹ = 10006627 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10006599 and 10006608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35344 + ... + 35625.

It is an arithmetic number, because the mean of its divisors is an integer number (1703280).

Almost surely, 2^10006629 is an apocalyptic number.

It is an amenable number.

10006629 is a deficient number, since it is larger than the sum of its proper divisors (3619611).

10006629 is an equidigital number, since it uses as much as digits as its factorization.

10006629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71019.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 10006629 is about 3163.3256234539. The cubic root of 10006629 is about 215.4910643130.

The spelling of 10006629 in words is "ten million, six thousand, six hundred twenty-nine".