83221344 has 120 divisors (see below), whose sum is σ = 248021928. Its totient is φ = 27371520.

The previous prime is 83221339. The next prime is 83221363. The reversal of 83221344 is 44312238.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 251259 + ... + 251589.

Almost surely, 2^83221344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124010964).

83221344 is an abundant number, since it is smaller than the sum of its proper divisors (164800584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83221344 is a wasteful number, since it uses less digits than its factorization.

83221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 433 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 83221344 is about 9122.5733211633. The cubic root of 83221344 is about 436.5944812661.

The spelling of 83221344 in words is "eighty-three million, two hundred twenty-one thousand, three hundred forty-four".