803681993 has 2 divisors, whose sum is σ = 803681994. Its totient is φ = 803681992.

The previous prime is 803681971. The next prime is 803682001. The reversal of 803681993 is 399186308.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 481012624 + 322669369 = 21932^2 + 17963^2 .

It is a cyclic number.

It is not a de Polignac number, because 803681993 - 2²⁴ = 786904777 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 (803681903) 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, 401840996 + 401840997.

It is an arithmetic number, because the mean of its divisors is an integer number (401840997).

Almost surely, 2^803681993 is an apocalyptic number.

It is an amenable number.

803681993 is a deficient number, since it is larger than the sum of its proper divisors (1).

803681993 is an equidigital number, since it uses as much as digits as its factorization.

803681993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 279936, while the sum is 47.

The square root of 803681993 is about 28349.2855818273. The cubic root of 803681993 is about 929.7397788155.

The spelling of 803681993 in words is "eight hundred three million, six hundred eighty-one thousand, nine hundred ninety-three".