8224 has 12 divisors (see below), whose sum is σ = 16254. Its totient is φ = 4096.

The previous prime is 8221. The next prime is 8231. The reversal of 8224 is 4228.

It can be written as a sum of positive squares in only one way, i.e., 4624 + 3600 = 68^2 + 60^2 .

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

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

It is a d-powerful number, because it can be written as 8 + 2³ + 2¹³ + 4² .

8224 is an undulating number in base 16.

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 8198 and 8207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 8224 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 97 + ... + 160.

2⁸²²⁴ is an apocalyptic number.

It is an amenable number.

8224 is a deficient number, since it is larger than the sum of its proper divisors (8030).

8224 is a wasteful number, since it uses less digits than its factorization.

8224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 259 counting only the distinct ones).

The product of its digits is 128, while the sum is 16.

The square root of 8224 is about 90.6862723900. The cubic root of 8224 is about 20.1849510500.

It can be divided in two parts, 8 and 224, that added together give a palindrome (232).

The spelling of 8224 in words is "eight thousand, two hundred twenty-four".