83265 has 32 divisors (see below), whose sum is σ = 166656. Its totient is φ = 34560.

The previous prime is 83257. The next prime is 83267. The reversal of 83265 is 56238.

83265 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 83265 - 2³ = 83257 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1335 + ... + 1395.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2⁸³²⁶⁵ is an apocalyptic number.

It is an amenable number.

83265 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (83328).

83265 is a wasteful number, since it uses less digits than its factorization.

83265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89.

The product of its digits is 1440, while the sum is 24.

The square root of 83265 is about 288.5567535165. The cubic root of 83265 is about 43.6670810390.

The spelling of 83265 in words is "eighty-three thousand, two hundred sixty-five".