803913361 has 2 divisors, whose sum is σ = 803913362. Its totient is φ = 803913360.

The previous prime is 803913277. The next prime is 803913371. The reversal of 803913361 is 163319308.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 760932225 + 42981136 = 27585^2 + 6556^2 .

It is a cyclic number.

It is not a de Polignac number, because 803913361 - 2¹⁹ = 803389073 is a prime.

It is not a weakly prime, because it can be changed into another prime (803913371) 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, 401956680 + 401956681.

It is an arithmetic number, because the mean of its divisors is an integer number (401956681).

Almost surely, 2^803913361 is an apocalyptic number.

It is an amenable number.

803913361 is a deficient number, since it is larger than the sum of its proper divisors (1).

803913361 is an equidigital number, since it uses as much as digits as its factorization.

803913361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 803913361 is about 28353.3659553853. The cubic root of 803913361 is about 929.8289896376.

The spelling of 803913361 in words is "eight hundred three million, nine hundred thirteen thousand, three hundred sixty-one".