813301 has 2 divisors, whose sum is σ = 813302. Its totient is φ = 813300.

The previous prime is 813299. The next prime is 813311. The reversal of 813301 is 103318.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 527076 + 286225 = 726^2 + 535^2 .

It is a cyclic number.

It is not a de Polignac number, because 813301 - 2¹ = 813299 is a prime.

It is a super-2 number, since 2×813301² = 1322917033202, which contains 22 as substring.

Together with 813299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (813311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406650 + 406651.

It is an arithmetic number, because the mean of its divisors is an integer number (406651).

2⁸¹³³⁰¹ is an apocalyptic number.

It is an amenable number.

813301 is a deficient number, since it is larger than the sum of its proper divisors (1).

813301 is an equidigital number, since it uses as much as digits as its factorization.

813301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 813301 is about 901.8320242706. The cubic root of 813301 is about 93.3434328640.

Adding to 813301 its reverse (103318), we get a palindrome (916619).

The spelling of 813301 in words is "eight hundred thirteen thousand, three hundred one".