821227 has 8 divisors (see below), whose sum is σ = 904752. Its totient is φ = 745360.

The previous prime is 821209. The next prime is 821263. The reversal of 821227 is 722128.

It is not a de Polignac number, because 821227 - 2⁷ = 821099 is a prime.

It is a Duffinian number.

821227 is a lucky number.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 821198 and 821207.

It is not an unprimeable number, because it can be changed into a prime (821207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1023 + ... + 1639.

It is an arithmetic number, because the mean of its divisors is an integer number (113094).

2⁸²¹²²⁷ is an apocalyptic number.

821227 is a deficient number, since it is larger than the sum of its proper divisors (83525).

821227 is an equidigital number, since it uses as much as digits as its factorization.

821227 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 628 counting only the distinct ones).

The product of its digits is 448, while the sum is 22.

The square root of 821227 is about 906.2157579738. The cubic root of 821227 is about 93.6456783280.

Subtracting from 821227 its reverse (722128), we obtain a palindrome (99099).

The spelling of 821227 in words is "eight hundred twenty-one thousand, two hundred twenty-seven".