34033129 has 16 divisors (see below), whose sum is σ = 37488528. Its totient is φ = 30707712.

The previous prime is 34033127. The next prime is 34033151. The reversal of 34033129 is 92133043.

It is a happy number.

34033129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 705600 + 33327529 = 840^2 + 5773^2 .

It is a cyclic number.

It is not a de Polignac number, because 34033129 - 2¹ = 34033127 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34033127) 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 15 ways as a sum of consecutive naturals, for example, 172659 + ... + 172855.

It is an arithmetic number, because the mean of its divisors is an integer number (2343033).

Almost surely, 2^34033129 is an apocalyptic number.

It is an amenable number.

34033129 is a deficient number, since it is larger than the sum of its proper divisors (3455399).

34033129 is a wasteful number, since it uses less digits than its factorization.

34033129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444.

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 34033129 is about 5833.7919914923. The cubic root of 34033129 is about 324.0663666568.

The spelling of 34033129 in words is "thirty-four million, thirty-three thousand, one hundred twenty-nine".