627106681 has 2 divisors, whose sum is σ = 627106682. Its totient is φ = 627106680.

The previous prime is 627106651. The next prime is 627106687. The reversal of 627106681 is 186601726.

627106681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 622003600 + 5103081 = 24940^2 + 2259^2 .

It is a cyclic number.

It is not a de Polignac number, because 627106681 - 2⁷ = 627106553 is a prime.

It is a super-2 number, since 2×627106681² = 786525578709671522, 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 627106681.

It is not a weakly prime, because it can be changed into another prime (627106687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 313553340 + 313553341.

It is an arithmetic number, because the mean of its divisors is an integer number (313553341).

Almost surely, 2^627106681 is an apocalyptic number.

It is an amenable number.

627106681 is a deficient number, since it is larger than the sum of its proper divisors (1).

627106681 is an equidigital number, since it uses as much as digits as its factorization.

627106681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 627106681 is about 25042.0981748734. The cubic root of 627106681 is about 855.9475290464.

The spelling of 627106681 in words is "six hundred twenty-seven million, one hundred six thousand, six hundred eighty-one".