83958 has 16 divisors (see below), whose sum is σ = 192000. Its totient is φ = 23976.

The previous prime is 83939. The next prime is 83969. The reversal of 83958 is 85938.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 958 + ... + 1041.

It is an arithmetic number, because the mean of its divisors is an integer number (12000).

2⁸³⁹⁵⁸ is an apocalyptic number.

83958 is an abundant number, since it is smaller than the sum of its proper divisors (108042).

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 (96000).

83958 is a wasteful number, since it uses less digits than its factorization.

83958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011.

The product of its digits is 8640, while the sum is 33.

The square root of 83958 is about 289.7550689807. The cubic root of 83958 is about 43.7878909834.

The spelling of 83958 in words is "eighty-three thousand, nine hundred fifty-eight".