1002997993 has 2 divisors, whose sum is σ = 1002997994. Its totient is φ = 1002997992.

The previous prime is 1002997987. The next prime is 1002997999. The reversal of 1002997993 is 3997992001.

1002997993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (1002997987) and next prime (1002997999).

It can be written as a sum of positive squares in only one way, i.e., 995528704 + 7469289 = 31552^2 + 2733^2 .

It is an emirp because it is prime and its reverse (3997992001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1002997993 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002997999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501498996 + 501498997.

It is an arithmetic number, because the mean of its divisors is an integer number (501498997).

Almost surely, 2^1002997993 is an apocalyptic number.

It is an amenable number.

1002997993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002997993 is an equidigital number, since it uses as much as digits as its factorization.

1002997993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 275562, while the sum is 49.

The square root of 1002997993 is about 31670.1435582474. The cubic root of 1002997993 is about 1000.9983339976.

The spelling of 1002997993 in words is "one billion, two million, nine hundred ninety-seven thousand, nine hundred ninety-three".