34049753 has 2 divisors, whose sum is σ = 34049754. Its totient is φ = 34049752.

The previous prime is 34049723. The next prime is 34049777. The reversal of 34049753 is 35794043.

34049753 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., 25938649 + 8111104 = 5093^2 + 2848^2 .

It is a cyclic number.

It is not a de Polignac number, because 34049753 - 2¹⁴ = 34033369 is a prime.

It is a super-2 number, since 2×34049753² = 2318771358722018, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34049713) 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, 17024876 + 17024877.

It is an arithmetic number, because the mean of its divisors is an integer number (17024877).

Almost surely, 2^34049753 is an apocalyptic number.

It is an amenable number.

34049753 is a deficient number, since it is larger than the sum of its proper divisors (1).

34049753 is an equidigital number, since it uses as much as digits as its factorization.

34049753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 34049753 is about 5835.2166198008. The cubic root of 34049753 is about 324.1191231180.

The spelling of 34049753 in words is "thirty-four million, forty-nine thousand, seven hundred fifty-three".