83344 has 10 divisors (see below), whose sum is σ = 161510. Its totient is φ = 41664.

The previous prime is 83341. The next prime is 83357. The reversal of 83344 is 44338.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 400 = 288^2 + 20^2 .

It is a d-powerful number, because it can be written as 8³ + 3⁹ + 3¹⁰ + 4 + 4⁶ .

It is not an unprimeable number, because it can be changed into a prime (83341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2589 + ... + 2620.

It is an arithmetic number, because the mean of its divisors is an integer number (16151).

2⁸³³⁴⁴ is an apocalyptic number.

It is an amenable number.

83344 is a deficient number, since it is larger than the sum of its proper divisors (78166).

83344 is a wasteful number, since it uses less digits than its factorization.

83344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5217 (or 5211 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 83344 is about 288.6936092123. The cubic root of 83344 is about 43.6808867956.

It can be divided in two parts, 8334 and 4, that added together give a palindrome (8338).

The spelling of 83344 in words is "eighty-three thousand, three hundred forty-four".