34001033 has 16 divisors (see below), whose sum is σ = 37933056. Its totient is φ = 30218640.

The previous prime is 34001029. The next prime is 34001041. The reversal of 34001033 is 33010043.

It is a happy number.

It is not a de Polignac number, because 34001033 - 2² = 34001029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34000999 and 34001017.

It is not an unprimeable number, because it can be changed into a prime (34001053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152360 + ... + 152582.

It is an arithmetic number, because the mean of its divisors is an integer number (2370816).

Almost surely, 2^34001033 is an apocalyptic number.

It is an amenable number.

34001033 is a deficient number, since it is larger than the sum of its proper divisors (3932023).

34001033 is a wasteful number, since it uses less digits than its factorization.

34001033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484.

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 34001033 is about 5831.0404731917. The cubic root of 34001033 is about 323.9644609955.

Adding to 34001033 its reverse (33010043), we get a palindrome (67011076).

It can be divided in two parts, 340010 and 33, that added together give a palindrome (340043).

The spelling of 34001033 in words is "thirty-four million, one thousand, thirty-three".