34085 has 8 divisors (see below), whose sum is σ = 43416. Its totient is φ = 25600.

The previous prime is 34061. The next prime is 34123. The reversal of 34085 is 58043.

It can be written as a sum of positive squares in 4 ways, for example, as 17956 + 16129 = 134^2 + 127^2 .

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

It is not a de Polignac number, because 34085 - 2⁸ = 33829 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 11 and base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116 + ... + 285.

It is an arithmetic number, because the mean of its divisors is an integer number (5427).

2³⁴⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

34085 is a deficient number, since it is larger than the sum of its proper divisors (9331).

34085 is a wasteful number, since it uses less digits than its factorization.

34085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 34085 is about 184.6212338817. The cubic root of 34085 is about 32.4230923117.

It can be divided in two parts, 340 and 85, that multiplied together give a square (28900 = 170²).

The spelling of 34085 in words is "thirty-four thousand, eighty-five".