34013 has 8 divisors (see below), whose sum is σ = 40128. Its totient is φ = 28224.

The previous prime is 33997. The next prime is 34019. The reversal of 34013 is 31043.

34013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34013 - 2⁴ = 33997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33985 and 34003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245 + ... + 357.

It is an arithmetic number, because the mean of its divisors is an integer number (5016).

2³⁴⁰¹³ is an apocalyptic number.

It is an amenable number.

34013 is a deficient number, since it is larger than the sum of its proper divisors (6115).

34013 is a wasteful number, since it uses less digits than its factorization.

34013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163.

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 34013 is about 184.4261369763. The cubic root of 34013 is about 32.4002464037.

Adding to 34013 its reverse (31043), we get a palindrome (65056).

It can be divided in two parts, 340 and 13, that added together give a palindrome (353).

The spelling of 34013 in words is "thirty-four thousand, thirteen".