83565 has 16 divisors (see below), whose sum is σ = 148800. Its totient is φ = 44496.

The previous prime is 83563. The next prime is 83579. The reversal of 83565 is 56538.

It is not a de Polignac number, because 83565 - 2¹ = 83563 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175 + ... + 444.

It is an arithmetic number, because the mean of its divisors is an integer number (9300).

2⁸³⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

83565 is a deficient number, since it is larger than the sum of its proper divisors (65235).

83565 is a wasteful number, since it uses less digits than its factorization.

83565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 627 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 83565 is about 289.0761145442. The cubic root of 83565 is about 43.7194616818.

Subtracting from 83565 its sum of digits (27), we obtain a palindrome (83538).

It can be divided in two parts, 835 and 65, that added together give a square (900 = 30²).

The spelling of 83565 in words is "eighty-three thousand, five hundred sixty-five".