83659 has 4 divisors (see below), whose sum is σ = 84240. Its totient is φ = 83080.

The previous prime is 83653. The next prime is 83663. The reversal of 83659 is 95638.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 95638 = 2 ⋅47819.

It is a cyclic number.

It is not a de Polignac number, because 83659 - 2¹¹ = 81611 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83659.

It is not an unprimeable number, because it can be changed into a prime (83653) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114 + ... + 424.

It is an arithmetic number, because the mean of its divisors is an integer number (21060).

2⁸³⁶⁵⁹ is an apocalyptic number.

83659 is a deficient number, since it is larger than the sum of its proper divisors (581).

83659 is a wasteful number, since it uses less digits than its factorization.

83659 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580.

The product of its digits is 6480, while the sum is 31.

The square root of 83659 is about 289.2386557845. The cubic root of 83659 is about 43.7358484842.

The spelling of 83659 in words is "eighty-three thousand, six hundred fifty-nine".