817211304 has 192 divisors, whose sum is σ = 2798490240. Its totient is φ = 209640960.

The previous prime is 817211287. The next prime is 817211309. The reversal of 817211304 is 403112718.

817211304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (817211309) 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, 240739 + ... + 244109.

It is an arithmetic number, because the mean of its divisors is an integer number (14575470).

Almost surely, 2^817211304 is an apocalyptic number.

817211304 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 817211304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399245120).

817211304 is an abundant number, since it is smaller than the sum of its proper divisors (1981278936).

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

817211304 is a wasteful number, since it uses less digits than its factorization.

817211304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3433 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 817211304 is about 28586.9079125393. The cubic root of 817211304 is about 934.9279035413.

The spelling of 817211304 in words is "eight hundred seventeen million, two hundred eleven thousand, three hundred four".