34005 has 8 divisors (see below), whose sum is σ = 54432. Its totient is φ = 18128.

The previous prime is 33997. The next prime is 34019. The reversal of 34005 is 50043.

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

It is a cyclic number.

It is not a de Polignac number, because 34005 - 2³ = 33997 is a prime.

34005 is a lucky number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1119 + ... + 1148.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

2³⁴⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

34005 is a deficient number, since it is larger than the sum of its proper divisors (20427).

34005 is a wasteful number, since it uses less digits than its factorization.

34005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275.

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 34005 is about 184.4044468010. The cubic root of 34005 is about 32.3977059799.

Adding to 34005 its reverse (50043), we get a palindrome (84048).

The spelling of 34005 in words is "thirty-four thousand, five".