83959 has 4 divisors (see below), whose sum is σ = 84816. Its totient is φ = 83104.

The previous prime is 83939. The next prime is 83969. The reversal of 83959 is 95938.

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: 95938 = 2 ⋅47969.

It is a cyclic number.

It is not a de Polignac number, because 83959 - 2¹³ = 75767 is a prime.

It is a super-2 number, since 2×83959² = 14098227362, which contains 22 as substring.

It is a Duffinian number.

83959 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83939) 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, 259 + ... + 484.

It is an arithmetic number, because the mean of its divisors is an integer number (21204).

2⁸³⁹⁵⁹ is an apocalyptic number.

83959 is a deficient number, since it is larger than the sum of its proper divisors (857).

83959 is a wasteful number, since it uses less digits than its factorization.

83959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856.

The product of its digits is 9720, while the sum is 34.

The square root of 83959 is about 289.7567945709. The cubic root of 83959 is about 43.7880648311.

It can be divided in two parts, 839 and 59, that added together give a palindrome (898).

The spelling of 83959 in words is "eighty-three thousand, nine hundred fifty-nine".