83944 has 16 divisors (see below), whose sum is σ = 180000. Its totient is φ = 35952.

The previous prime is 83939. The next prime is 83969. The reversal of 83944 is 44938.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 694 + ... + 805.

It is an arithmetic number, because the mean of its divisors is an integer number (11250).

2⁸³⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

83944 is an abundant number, since it is smaller than the sum of its proper divisors (96056).

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 (90000).

83944 is a wasteful number, since it uses less digits than its factorization.

83944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1508 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 83944 is about 289.7309096386. The cubic root of 83944 is about 43.7854569706.

The spelling of 83944 in words is "eighty-three thousand, nine hundred forty-four".