7801993 has 2 divisors, whose sum is σ = 7801994. Its totient is φ = 7801992.

The previous prime is 7801979. The next prime is 7801999. The reversal of 7801993 is 3991087.

7801993 is digitally balanced in base 3, 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., 7382089 + 419904 = 2717^2 + 648^2 .

It is an emirp because it is prime and its reverse (3991087) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7801993 - 2²¹ = 5704841 is a prime.

It is not a weakly prime, because it can be changed into another prime (7801999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3900996 + 3900997.

It is an arithmetic number, because the mean of its divisors is an integer number (3900997).

Almost surely, 2^7801993 is an apocalyptic number.

It is an amenable number.

7801993 is a deficient number, since it is larger than the sum of its proper divisors (1).

7801993 is an equidigital number, since it uses as much as digits as its factorization.

7801993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 7801993 is about 2793.2047902007. The cubic root of 7801993 is about 198.3361378665.

The spelling of 7801993 in words is "seven million, eight hundred one thousand, nine hundred ninety-three".