1000000033 has 2 divisors, whose sum is σ = 1000000034. Its totient is φ = 1000000032.

The previous prime is 1000000021. The next prime is 1000000087. The reversal of 1000000033 is 3300000001.

It is a happy number.

1000000033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 998117649 + 1882384 = 31593^2 + 1372^2 .

It is an emirp because it is prime and its reverse (3300000001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000000033 is a prime.

1000000033 is a modest number, since divided by 33 gives 10 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 999999962 and 1000000025.

It is not a weakly prime, because it can be changed into another prime (1000000093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500000016 + 500000017.

It is an arithmetic number, because the mean of its divisors is an integer number (500000017).

Almost surely, 2^1000000033 is an apocalyptic number.

It is an amenable number.

1000000033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000000033 is an equidigital number, since it uses as much as digits as its factorization.

1000000033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 1000000033 is about 31622.7771234596. Note that the first 3 decimals coincide. The cubic root of 1000000033 is about 1000.0000110000. Note that the first 4 decimals are identical.

Adding to 1000000033 its reverse (3300000001), we get a palindrome (4300000034).

The spelling of 1000000033 in words is "one billion, thirty-three", and thus it is an aban number and an uban number.