827112481 has 16 divisors (see below), whose sum is σ = 910722960. Its totient is φ = 746507520.

The previous prime is 827112479. The next prime is 827112491. The reversal of 827112481 is 184211728.

It can be written as a sum of positive squares in 8 ways, for example, as 32400 + 827080081 = 180^2 + 28759^2 .

It is a cyclic number.

It is not a de Polignac number, because 827112481 - 2¹ = 827112479 is a prime.

It is a super-3 number, since 3×827112481³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (827112491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134175 + ... + 140203.

It is an arithmetic number, because the mean of its divisors is an integer number (56920185).

Almost surely, 2^827112481 is an apocalyptic number.

It is an amenable number.

827112481 is a deficient number, since it is larger than the sum of its proper divisors (83610479).

827112481 is a wasteful number, since it uses less digits than its factorization.

827112481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6276.

The product of its digits is 7168, while the sum is 34.

The square root of 827112481 is about 28759.5632964063. The cubic root of 827112481 is about 938.6885593797.

The spelling of 827112481 in words is "eight hundred twenty-seven million, one hundred twelve thousand, four hundred eighty-one".