821222127 has 48 divisors (see below), whose sum is σ = 1330243200. Its totient is φ = 483900480.

The previous prime is 821222119. The next prime is 821222183. The reversal of 821222127 is 721222128.

It is not a de Polignac number, because 821222127 - 2³ = 821222119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 821222127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821222197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1613149 + ... + 1613657.

It is an arithmetic number, because the mean of its divisors is an integer number (27713400).

Almost surely, 2^821222127 is an apocalyptic number.

821222127 is a deficient number, since it is larger than the sum of its proper divisors (509021073).

821222127 is a wasteful number, since it uses less digits than its factorization.

821222127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 945 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 821222127 is about 28656.9734445213. The cubic root of 821222127 is about 936.4549310258.

Subtracting from 821222127 its reverse (721222128), we obtain a palindrome (99999999).

The spelling of 821222127 in words is "eight hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty-seven".