8227 has 4 divisors (see below), whose sum is σ = 8680. Its totient is φ = 7776.

The previous prime is 8221. The next prime is 8231. The reversal of 8227 is 7228.

8227 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a 5-Lehmer number, since φ(8227) divides (8227-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 8227 - 2³ = 8219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19), and also a Moran number because the ratio is a prime number: 433 = 8227 / (8 + 2 + 2 + 7).

It is a Duffinian number.

8227 is a lucky number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 198 + ... + 235.

It is an arithmetic number, because the mean of its divisors is an integer number (2170).

2⁸²²⁷ is an apocalyptic number.

8227 is a deficient number, since it is larger than the sum of its proper divisors (453).

8227 is a wasteful number, since it uses less digits than its factorization.

8227 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452.

The product of its digits is 224, while the sum is 19.

The square root of 8227 is about 90.7028114228. The cubic root of 8227 is about 20.1874051474.

Subtracting from 8227 its reverse (7228), we obtain a palindrome (999).

The spelling of 8227 in words is "eight thousand, two hundred twenty-seven".