8000033 has 2 divisors, whose sum is σ = 8000034. Its totient is φ = 8000032.

The previous prime is 8000023. The next prime is 8000051. The reversal of 8000033 is 3300008.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5513104 + 2486929 = 2348^2 + 1577^2 .

It is a cyclic number.

It is not a de Polignac number, because 8000033 - 2⁴ = 8000017 is a prime.

8000033 is a modest number, since divided by 33 gives 8 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 7999981 and 8000017.

It is not a weakly prime, because it can be changed into another prime (8000023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4000016 + 4000017.

It is an arithmetic number, because the mean of its divisors is an integer number (4000017).

Almost surely, 2^8000033 is an apocalyptic number.

It is an amenable number.

8000033 is a deficient number, since it is larger than the sum of its proper divisors (1).

8000033 is an equidigital number, since it uses as much as digits as its factorization.

8000033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 8000033 is about 2828.4329583711. The cubic root of 8000033 is about 200.0002749996. Note that the first 3 decimals are identical.

The spelling of 8000033 in words is "eight million, thirty-three", and thus it is an aban number and an uban number.