34005123 has 16 divisors (see below), whose sum is σ = 50509440. Its totient is φ = 22610952.

The previous prime is 34005077. The next prime is 34005137. The reversal of 34005123 is 32150043.

It is not a de Polignac number, because 34005123 - 2²² = 29810819 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34005096 and 34005105.

It is not an unprimeable number, because it can be changed into a prime (34005143) 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, 10540 + ... + 13382.

It is an arithmetic number, because the mean of its divisors is an integer number (3156840).

Almost surely, 2^34005123 is an apocalyptic number.

34005123 is a deficient number, since it is larger than the sum of its proper divisors (16504317).

34005123 is a wasteful number, since it uses less digits than its factorization.

34005123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 34005123 is about 5831.3911719246. The cubic root of 34005123 is about 323.9774504197.

Adding to 34005123 its reverse (32150043), we get a palindrome (66155166).

The spelling of 34005123 in words is "thirty-four million, five thousand, one hundred twenty-three".