8456417209 has 2 divisors, whose sum is σ = 8456417210. Its totient is φ = 8456417208.

The previous prime is 8456417171. The next prime is 8456417227. The reversal of 8456417209 is 9027146548.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6587757225 + 1868659984 = 81165^2 + 43228^2 .

It is a cyclic number.

It is not a de Polignac number, because 8456417209 - 2¹¹ = 8456415161 is a prime.

It is not a weakly prime, because it can be changed into another prime (8456417269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4228208604 + 4228208605.

It is an arithmetic number, because the mean of its divisors is an integer number (4228208605).

Almost surely, 2^8456417209 is an apocalyptic number.

It is an amenable number.

8456417209 is a deficient number, since it is larger than the sum of its proper divisors (1).

8456417209 is an equidigital number, since it uses as much as digits as its factorization.

8456417209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 8456417209 is about 91958.7799451472. The cubic root of 8456417209 is about 2037.3335347408. Note that the first 3 decimals are identical.

The spelling of 8456417209 in words is "eight billion, four hundred fifty-six million, four hundred seventeen thousand, two hundred nine".