65205 has 40 divisors (see below), whose sum is σ = 139392. Its totient is φ = 28512.

The previous prime is 65203. The next prime is 65213. The reversal of 65205 is 50256.

It is not a de Polignac number, because 65205 - 2¹ = 65203 is a prime.

It is a Curzon number.

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65203) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2824 + ... + 2846.

2⁶⁵²⁰⁵ is an apocalyptic number.

It is an amenable number.

65205 is an abundant number, since it is smaller than the sum of its proper divisors (74187).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69696).

65205 is a wasteful number, since it uses less digits than its factorization.

65205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 65205 is about 255.3526972640. The cubic root of 65205 is about 40.2494823950.

The spelling of 65205 in words is "sixty-five thousand, two hundred five".