840008033 has 2 divisors, whose sum is σ = 840008034. Its totient is φ = 840008032.

The previous prime is 840007979. The next prime is 840008051. The reversal of 840008033 is 330800048.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 800720209 + 39287824 = 28297^2 + 6268^2 .

It is a cyclic number.

It is not a de Polignac number, because 840008033 - 2⁶ = 840007969 is a prime.

It is a super-2 number, since 2×840008033² = 1411226991009058178, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 840007993 and 840008011.

It is not a weakly prime, because it can be changed into another prime (840008833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 420004016 + 420004017.

It is an arithmetic number, because the mean of its divisors is an integer number (420004017).

Almost surely, 2^840008033 is an apocalyptic number.

It is an amenable number.

840008033 is a deficient number, since it is larger than the sum of its proper divisors (1).

840008033 is an equidigital number, since it uses as much as digits as its factorization.

840008033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 840008033 is about 28982.8920744635. The cubic root of 840008033 is about 943.5418037708.

The spelling of 840008033 in words is "eight hundred forty million, eight thousand, thirty-three".