34065 has 12 divisors (see below), whose sum is σ = 59124. Its totient is φ = 18144.

The previous prime is 34061. The next prime is 34123. The reversal of 34065 is 56043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16641 + 17424 = 129^2 + 132^2 .

It is not a de Polignac number, because 34065 - 2² = 34061 is a prime.

34065 is a lucky number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (34061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334 + ... + 423.

It is an arithmetic number, because the mean of its divisors is an integer number (4927).

2³⁴⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

34065 is a deficient number, since it is larger than the sum of its proper divisors (25059).

34065 is a wasteful number, since it uses less digits than its factorization.

34065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 765 counting only the distinct ones).

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

The square root of 34065 is about 184.5670609833. The cubic root of 34065 is about 32.4167494559.

The spelling of 34065 in words is "thirty-four thousand, sixty-five".