628086593 has 2 divisors, whose sum is σ = 628086594. Its totient is φ = 628086592.

The previous prime is 628086559. The next prime is 628086601. The reversal of 628086593 is 395680826.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 513339649 + 114746944 = 22657^2 + 10712^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-628086593 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (628086533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 314043296 + 314043297.

It is an arithmetic number, because the mean of its divisors is an integer number (314043297).

Almost surely, 2^628086593 is an apocalyptic number.

It is an amenable number.

628086593 is a deficient number, since it is larger than the sum of its proper divisors (1).

628086593 is an equidigital number, since it uses as much as digits as its factorization.

628086593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 622080, while the sum is 47.

The square root of 628086593 is about 25061.6558311697. The cubic root of 628086593 is about 856.3931293368.

The spelling of 628086593 in words is "six hundred twenty-eight million, eighty-six thousand, five hundred ninety-three".