10627 has 2 divisors, whose sum is σ = 10628. Its totient is φ = 10626.

The previous prime is 10613. The next prime is 10631. The reversal of 10627 is 72601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10627 - 2⁷ = 10499 is a prime.

It is a super-2 number, since 2×10627² = 225866258, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10627.

It is not a weakly prime, because it can be changed into another prime (10607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5313 + 5314.

It is an arithmetic number, because the mean of its divisors is an integer number (5314).

2¹⁰⁶²⁷ is an apocalyptic number.

10627 is a deficient number, since it is larger than the sum of its proper divisors (1).

10627 is an equidigital number, since it uses as much as digits as its factorization.

10627 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 10627 is about 103.0873416089. The cubic root of 10627 is about 21.9855276718.

The spelling of 10627 in words is "ten thousand, six hundred twenty-seven".