813271321 has 2 divisors, whose sum is σ = 813271322. Its totient is φ = 813271320.

The previous prime is 813271301. The next prime is 813271373. The reversal of 813271321 is 123172318.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 570254400 + 243016921 = 23880^2 + 15589^2 .

It is a cyclic number.

It is not a de Polignac number, because 813271321 - 2¹⁵ = 813238553 is a prime.

It is a super-2 number, since 2×813271321² = 1322820483122170082, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 813271321.

It is not a weakly prime, because it can be changed into another prime (813271301) 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 as a sum of consecutive naturals, namely, 406635660 + 406635661.

It is an arithmetic number, because the mean of its divisors is an integer number (406635661).

Almost surely, 2^813271321 is an apocalyptic number.

It is an amenable number.

813271321 is a deficient number, since it is larger than the sum of its proper divisors (1).

813271321 is an equidigital number, since it uses as much as digits as its factorization.

813271321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 28.

The square root of 813271321 is about 28517.9122833352. The cubic root of 813271321 is about 933.4229741992.

The spelling of 813271321 in words is "eight hundred thirteen million, two hundred seventy-one thousand, three hundred twenty-one".