10097627 has 2 divisors, whose sum is σ = 10097628. Its totient is φ = 10097626.

The previous prime is 10097587. The next prime is 10097639. The reversal of 10097627 is 72679001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10097627 is a prime.

It is a super-2 number, since 2×10097627² = 203924142062258, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10097593 and 10097602.

It is not a weakly prime, because it can be changed into another prime (10097657) 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, 5048813 + 5048814.

It is an arithmetic number, because the mean of its divisors is an integer number (5048814).

Almost surely, 2^10097627 is an apocalyptic number.

10097627 is a deficient number, since it is larger than the sum of its proper divisors (1).

10097627 is an equidigital number, since it uses as much as digits as its factorization.

10097627 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 10097627 is about 3177.6763523053. The cubic root of 10097627 is about 216.1423030622.

The spelling of 10097627 in words is "ten million, ninety-seven thousand, six hundred twenty-seven".