83244 has 24 divisors (see below), whose sum is σ = 222208. Its totient is φ = 23760.

The previous prime is 83243. The next prime is 83257. The reversal of 83244 is 44238.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 83244.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83244.

It is not an unprimeable number, because it can be changed into a prime (83243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412 + ... + 579.

2⁸³²⁴⁴ is an apocalyptic number.

83244 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

83244 is an abundant number, since it is smaller than the sum of its proper divisors (138964).

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 (111104).

83244 is a wasteful number, since it uses less digits than its factorization.

83244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 1003 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 83244 is about 288.5203632328. The cubic root of 83244 is about 43.6634096853.

It can be divided in two parts, 8 and 3244, that multiplied together give a palindrome (25952).

The spelling of 83244 in words is "eighty-three thousand, two hundred forty-four".