827216334 has 96 divisors (see below), whose sum is σ = 2150496000. Its totient is φ = 235010160.

The previous prime is 827216323. The next prime is 827216339. The reversal of 827216334 is 433612728.

It is a happy number.

827216334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827216339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 525769 + ... + 527339.

It is an arithmetic number, because the mean of its divisors is an integer number (22401000).

Almost surely, 2^827216334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827216334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075248000).

827216334 is an abundant number, since it is smaller than the sum of its proper divisors (1323279666).

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

827216334 is a wasteful number, since it uses less digits than its factorization.

827216334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1782 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 827216334 is about 28761.3687782762. The cubic root of 827216334 is about 938.7278452670.

The spelling of 827216334 in words is "eight hundred twenty-seven million, two hundred sixteen thousand, three hundred thirty-four".