827542448217 has 12 divisors (see below), whose sum is σ = 1195769570580. Its totient is φ = 551496283008.

The previous prime is 827542448147. The next prime is 827542448219. The reversal of 827542448217 is 712844245728.

827542448217 is a `hidden beast` number, since 8 + 2 + 7 + 542 + 4 + 4 + 82 + 17 = 666.

827542448217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 431518923801 + 396023524416 = 656901^2 + 629304^2 .

It is not a de Polignac number, because 827542448217 - 2²⁷ = 827408230489 is a prime.

It is a super-2 number, since 2×827542448217² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (827542448219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16530492 + ... + 16580477.

It is an arithmetic number, because the mean of its divisors is an integer number (99647464215).

Almost surely, 2^827542448217 is an apocalyptic number.

It is an amenable number.

827542448217 is a deficient number, since it is larger than the sum of its proper divisors (368227122363).

827542448217 is a wasteful number, since it uses less digits than its factorization.

827542448217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33113752 (or 33113749 counting only the distinct ones).

The product of its digits is 8028160, while the sum is 54.

The spelling of 827542448217 in words is "eight hundred twenty-seven billion, five hundred forty-two million, four hundred forty-eight thousand, two hundred seventeen".