813267617 has 2 divisors, whose sum is σ = 813267618. Its totient is φ = 813267616.

The previous prime is 813267599. The next prime is 813267629. The reversal of 813267617 is 716762318.

813267617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 692795041 + 120472576 = 26321^2 + 10976^2 .

It is a cyclic number.

It is not a de Polignac number, because 813267617 - 2¹⁰ = 813266593 is a prime.

It is a super-2 number, since 2×813267617² = 1322808433721717378, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (813267017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406633808 + 406633809.

It is an arithmetic number, because the mean of its divisors is an integer number (406633809).

Almost surely, 2^813267617 is an apocalyptic number.

It is an amenable number.

813267617 is a deficient number, since it is larger than the sum of its proper divisors (1).

813267617 is an equidigital number, since it uses as much as digits as its factorization.

813267617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84672, while the sum is 41.

The square root of 813267617 is about 28517.8473416210. The cubic root of 813267617 is about 933.4215571224.

The spelling of 813267617 in words is "eight hundred thirteen million, two hundred sixty-seven thousand, six hundred seventeen".