10627627 has 2 divisors, whose sum is σ = 10627628. Its totient is φ = 10627626.

The previous prime is 10627619. The next prime is 10627681. The reversal of 10627627 is 72672601.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10627627 - 2³ = 10627619 is a prime.

It is a super-2 number, since 2×10627627² = 225892911302258, which contains 22 as substring.

It is a Chen prime.

It is equal to p₇₀₃₄₉₈ and since 10627627 and 703498 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (10627697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5313813 + 5313814.

It is an arithmetic number, because the mean of its divisors is an integer number (5313814).

Almost surely, 2^10627627 is an apocalyptic number.

10627627 is a deficient number, since it is larger than the sum of its proper divisors (1).

10627627 is an equidigital number, since it uses as much as digits as its factorization.

10627627 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 10627627 is about 3260.0041411017. The cubic root of 10627627 is about 219.8596005016.

The spelling of 10627627 in words is "ten million, six hundred twenty-seven thousand, six hundred twenty-seven".