83566 has 16 divisors (see below), whose sum is σ = 147456. Its totient is φ = 34776.

The previous prime is 83563. The next prime is 83579. The reversal of 83566 is 66538.

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 7 ways as a sum of consecutive naturals, for example, 595 + ... + 721.

It is an arithmetic number, because the mean of its divisors is an integer number (9216).

2⁸³⁵⁶⁶ is an apocalyptic number.

83566 is a deficient number, since it is larger than the sum of its proper divisors (63890).

83566 is a wasteful number, since it uses less digits than its factorization.

83566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183.

The product of its digits is 4320, while the sum is 28.

The square root of 83566 is about 289.0778441873. The cubic root of 83566 is about 43.7196360742.

Subtracting from 83566 its sum of digits (28), we obtain a palindrome (83538).

The spelling of 83566 in words is "eighty-three thousand, five hundred sixty-six".