800047033 has 2 divisors, whose sum is σ = 800047034. Its totient is φ = 800047032.

The previous prime is 800046997. The next prime is 800047049. The reversal of 800047033 is 330740008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 772673209 + 27373824 = 27797^2 + 5232^2 .

It is a cyclic number.

It is not a de Polignac number, because 800047033 - 2⁹ = 800046521 is a prime.

It is a super-3 number, since 3×800047033³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 800046989 and 800047007.

It is not a weakly prime, because it can be changed into another prime (800047133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400023516 + 400023517.

It is an arithmetic number, because the mean of its divisors is an integer number (400023517).

Almost surely, 2^800047033 is an apocalyptic number.

It is an amenable number.

800047033 is a deficient number, since it is larger than the sum of its proper divisors (1).

800047033 is an equidigital number, since it uses as much as digits as its factorization.

800047033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 800047033 is about 28285.1026690730. The cubic root of 800047033 is about 928.3359586867.

The spelling of 800047033 in words is "eight hundred million, forty-seven thousand, thirty-three".