34005753 has 12 divisors (see below), whose sum is σ = 51255360. Its totient is φ = 21684696.

The previous prime is 34005739. The next prime is 34005761. The reversal of 34005753 is 35750043.

It is a happy number.

34005753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34005753 - 2⁵ = 34005721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34005703) 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 in 11 ways as a sum of consecutive naturals, for example, 81933 + ... + 82346.

It is an arithmetic number, because the mean of its divisors is an integer number (4271280).

Almost surely, 2^34005753 is an apocalyptic number.

It is an amenable number.

34005753 is a deficient number, since it is larger than the sum of its proper divisors (17249607).

34005753 is a wasteful number, since it uses less digits than its factorization.

34005753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164308 (or 164305 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 34005753 is about 5831.4451896592. The cubic root of 34005753 is about 323.9794511430.

Adding to 34005753 its reverse (35750043), we get a palindrome (69755796).

The spelling of 34005753 in words is "thirty-four million, five thousand, seven hundred fifty-three".