34112013 has 32 divisors (see below), whose sum is σ = 54141696. Its totient is φ = 18889728.

The previous prime is 34111991. The next prime is 34112051. The reversal of 34112013 is 31021143.

It is not a de Polignac number, because 34112013 - 2⁵ = 34111981 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34111983 and 34112001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34112213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14131 + ... + 16367.

It is an arithmetic number, because the mean of its divisors is an integer number (1691928).

Almost surely, 2^34112013 is an apocalyptic number.

It is an amenable number.

34112013 is a deficient number, since it is larger than the sum of its proper divisors (20029683).

34112013 is a wasteful number, since it uses less digits than its factorization.

34112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 34112013 is about 5840.5490324113. The cubic root of 34112013 is about 324.3165535231.

Adding to 34112013 its reverse (31021143), we get a palindrome (65133156).

The spelling of 34112013 in words is "thirty-four million, one hundred twelve thousand, thirteen".