827988133 has 12 divisors (see below), whose sum is σ = 970208172. Its totient is φ = 704518080.

The previous prime is 827988131. The next prime is 827988169. The reversal of 827988133 is 331889728.

It can be written as a sum of positive squares in 2 ways, for example, as 683195044 + 144793089 = 26138^2 + 12033^2 .

It is not a de Polignac number, because 827988133 - 2¹ = 827988131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827988131) 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 11 ways as a sum of consecutive naturals, for example, 54958 + ... + 68383.

It is an arithmetic number, because the mean of its divisors is an integer number (80850681).

Almost surely, 2^827988133 is an apocalyptic number.

It is an amenable number.

827988133 is a deficient number, since it is larger than the sum of its proper divisors (142220039).

827988133 is a wasteful number, since it uses less digits than its factorization.

827988133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123492 (or 123485 counting only the distinct ones).

The product of its digits is 580608, while the sum is 49.

The square root of 827988133 is about 28774.7829357582. The cubic root of 827988133 is about 939.0197012081.

The spelling of 827988133 in words is "eight hundred twenty-seven million, nine hundred eighty-eight thousand, one hundred thirty-three".