34205 has 4 divisors (see below), whose sum is σ = 41052. Its totient is φ = 27360.

The previous prime is 34183. The next prime is 34211. The reversal of 34205 is 50243.

34205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 50243 = 47 ⋅1069.

It can be written as a sum of positive squares in 2 ways, for example, as 19321 + 14884 = 139^2 + 122^2 .

It is not a de Polignac number, because 34205 - 2⁶ = 34141 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3416 + ... + 3425.

It is an arithmetic number, because the mean of its divisors is an integer number (10263).

2³⁴²⁰⁵ is an apocalyptic number.

It is an amenable number.

34205 is a deficient number, since it is larger than the sum of its proper divisors (6847).

34205 is an equidigital number, since it uses as much as digits as its factorization.

34205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6846.

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 34205 is about 184.9459380468. The cubic root of 34205 is about 32.4610974364.

Subtracting from 34205 its sum of digits (14), we obtain a triangular number (34191 = T₂₆₁).

Adding to 34205 its reverse (50243), we get a palindrome (84448).

The spelling of 34205 in words is "thirty-four thousand, two hundred five".