727391993 has 2 divisors, whose sum is σ = 727391994. Its totient is φ = 727391992.

The previous prime is 727391963. The next prime is 727392013. The reversal of 727391993 is 399193727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 627151849 + 100240144 = 25043^2 + 10012^2 .

It is a cyclic number.

It is not a de Polignac number, because 727391993 - 2¹² = 727387897 is a prime.

It is a super-2 number, since 2×727391993² = 1058198222961024098, which contains 22 as substring.

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 (727391923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 363695996 + 363695997.

It is an arithmetic number, because the mean of its divisors is an integer number (363695997).

Almost surely, 2^727391993 is an apocalyptic number.

It is an amenable number.

727391993 is a deficient number, since it is larger than the sum of its proper divisors (1).

727391993 is an equidigital number, since it uses as much as digits as its factorization.

727391993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 642978, while the sum is 50.

The square root of 727391993 is about 26970.2056536468. The cubic root of 727391993 is about 899.3377815846.

The spelling of 727391993 in words is "seven hundred twenty-seven million, three hundred ninety-one thousand, nine hundred ninety-three".