827821729 has 6 divisors (see below), whose sum is σ = 962976354. Its totient is φ = 709561440.

The previous prime is 827821717. The next prime is 827821747. The reversal of 827821729 is 927128728.

It is a happy number.

827821729 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 only one way, i.e., 809288704 + 18533025 = 28448^2 + 4305^2 .

It is not a de Polignac number, because 827821729 - 2¹⁵ = 827788961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (827821759) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8447112 + ... + 8447209.

It is an arithmetic number, because the mean of its divisors is an integer number (160496059).

Almost surely, 2^827821729 is an apocalyptic number.

It is an amenable number.

827821729 is a deficient number, since it is larger than the sum of its proper divisors (135154625).

827821729 is a wasteful number, since it uses less digits than its factorization.

827821729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16894335 (or 16894328 counting only the distinct ones).

The product of its digits is 225792, while the sum is 46.

The square root of 827821729 is about 28771.8913003647. The cubic root of 827821729 is about 938.9567908445.

The spelling of 827821729 in words is "eight hundred twenty-seven million, eight hundred twenty-one thousand, seven hundred twenty-nine".