10006627 has 2 divisors, whose sum is σ = 10006628. Its totient is φ = 10006626.

The previous prime is 10006603. The next prime is 10006631. The reversal of 10006627 is 72660001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10006627 - 2⁷ = 10006499 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10006598 and 10006607.

It is not a weakly prime, because it can be changed into another prime (10006657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5003313 + 5003314.

It is an arithmetic number, because the mean of its divisors is an integer number (5003314).

Almost surely, 2^10006627 is an apocalyptic number.

10006627 is a deficient number, since it is larger than the sum of its proper divisors (1).

10006627 is an equidigital number, since it uses as much as digits as its factorization.

10006627 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 10006627 is about 3163.3253073309. The cubic root of 10006627 is about 215.4910499564.

Adding to 10006627 its reverse (72660001), we get a palindrome (82666628).

The spelling of 10006627 in words is "ten million, six thousand, six hundred twenty-seven".