820317319 has 16 divisors (see below), whose sum is σ = 859299840. Its totient is φ = 782203680.

The previous prime is 820317317. The next prime is 820317341. The reversal of 820317319 is 913713028.

It is a cyclic number.

It is not a de Polignac number, because 820317319 - 2¹ = 820317317 is a prime.

It is a super-2 number, since 2×820317319² = 1345841007702695522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820317313) 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, 739137 + ... + 740245.

It is an arithmetic number, because the mean of its divisors is an integer number (53706240).

Almost surely, 2^820317319 is an apocalyptic number.

820317319 is a deficient number, since it is larger than the sum of its proper divisors (38982521).

820317319 is a wasteful number, since it uses less digits than its factorization.

820317319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470.

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 820317319 is about 28641.1822207115. The cubic root of 820317319 is about 936.1108814845.

The spelling of 820317319 in words is "eight hundred twenty million, three hundred seventeen thousand, three hundred nineteen".