83560 has 16 divisors (see below), whose sum is σ = 188100. Its totient is φ = 33408.

The previous prime is 83557. The next prime is 83561. The reversal of 83560 is 6538.

It can be written as a sum of positive squares in 2 ways, for example, as 81796 + 1764 = 286^2 + 42^2 .

It is an Ulam number.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1005 + ... + 1084.

2⁸³⁵⁶⁰ is an apocalyptic number.

It is an amenable number.

83560 is an abundant number, since it is smaller than the sum of its proper divisors (104540).

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 (94050).

83560 is a wasteful number, since it uses less digits than its factorization.

83560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 83560 is about 289.0674661736. The cubic root of 83560 is about 43.7185896993.

Subtracting from 83560 its sum of digits (22), we obtain a palindrome (83538).

The spelling of 83560 in words is "eighty-three thousand, five hundred sixty".