34055993 has 2 divisors, whose sum is σ = 34055994. Its totient is φ = 34055992.

The previous prime is 34055971. The next prime is 34056007. The reversal of 34055993 is 39955043.

34055993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28334329 + 5721664 = 5323^2 + 2392^2 .

It is a cyclic number.

It is not a de Polignac number, because 34055993 - 2⁶ = 34055929 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (34055963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17027996 + 17027997.

It is an arithmetic number, because the mean of its divisors is an integer number (17027997).

Almost surely, 2^34055993 is an apocalyptic number.

It is an amenable number.

34055993 is a deficient number, since it is larger than the sum of its proper divisors (1).

34055993 is an equidigital number, since it uses as much as digits as its factorization.

34055993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72900, while the sum is 38.

The square root of 34055993 is about 5835.7512798268. The cubic root of 34055993 is about 324.1389213996.

The spelling of 34055993 in words is "thirty-four million, fifty-five thousand, nine hundred ninety-three".