34006 has 12 divisors (see below), whose sum is σ = 59508. Its totient is φ = 14532.

The previous prime is 33997. The next prime is 34019. The reversal of 34006 is 60043.

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 5 ways as a sum of consecutive naturals, for example, 76 + ... + 271.

It is an arithmetic number, because the mean of its divisors is an integer number (4959).

2³⁴⁰⁰⁶ is an apocalyptic number.

34006 is a deficient number, since it is larger than the sum of its proper divisors (25502).

34006 is a wasteful number, since it uses less digits than its factorization.

34006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 34006 is about 184.4071582125. The cubic root of 34006 is about 32.3980235547.

Adding to 34006 its reverse (60043), we get a palindrome (94049).

The spelling of 34006 in words is "thirty-four thousand, six", and thus it is an eban number.