800616953 has 2 divisors, whose sum is σ = 800616954. Its totient is φ = 800616952.

The previous prime is 800616919. The next prime is 800616967. The reversal of 800616953 is 359616008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 621405184 + 179211769 = 24928^2 + 13387^2 .

It is a cyclic number.

It is not a de Polignac number, because 800616953 - 2⁸ = 800616697 is a prime.

It is not a weakly prime, because it can be changed into another prime (800616353) 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, 400308476 + 400308477.

It is an arithmetic number, because the mean of its divisors is an integer number (400308477).

Almost surely, 2^800616953 is an apocalyptic number.

It is an amenable number.

800616953 is a deficient number, since it is larger than the sum of its proper divisors (1).

800616953 is an equidigital number, since it uses as much as digits as its factorization.

800616953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 800616953 is about 28295.1754368125. The cubic root of 800616953 is about 928.5563422502.

The spelling of 800616953 in words is "eight hundred million, six hundred sixteen thousand, nine hundred fifty-three".