827122842 has 216 divisors, whose sum is σ = 2343219840. Its totient is φ = 209926080.

The previous prime is 827122837. The next prime is 827122853. The reversal of 827122842 is 248221728.

It is a junction number, because it is equal to n+sod(n) for n = 827122797 and 827122806.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4620709 + ... + 4620887.

It is an arithmetic number, because the mean of its divisors is an integer number (10848240).

Almost surely, 2^827122842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827122842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171609920).

827122842 is an abundant number, since it is smaller than the sum of its proper divisors (1516096998).

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

827122842 is a wasteful number, since it uses less digits than its factorization.

827122842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 235 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 827122842 is about 28759.7434272283. The cubic root of 827122842 is about 938.6924789238.

It can be divided in two parts, 8271 and 22842, that added together give a palindrome (31113).

The spelling of 827122842 in words is "eight hundred twenty-seven million, one hundred twenty-two thousand, eight hundred forty-two".