8456641 has 2 divisors, whose sum is σ = 8456642. Its totient is φ = 8456640.

The previous prime is 8456639. The next prime is 8456659. The reversal of 8456641 is 1466548.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5664400 + 2792241 = 2380^2 + 1671^2 .

It is a cyclic number.

It is not a de Polignac number, because 8456641 - 2¹ = 8456639 is a prime.

Together with 8456639, it forms a pair of twin primes.

8456641 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8456597 and 8456606.

It is not a weakly prime, because it can be changed into another prime (8456611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4228320 + 4228321.

It is an arithmetic number, because the mean of its divisors is an integer number (4228321).

Almost surely, 2^8456641 is an apocalyptic number.

It is an amenable number.

8456641 is a deficient number, since it is larger than the sum of its proper divisors (1).

8456641 is an equidigital number, since it uses as much as digits as its factorization.

8456641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23040, while the sum is 34.

The square root of 8456641 is about 2908.0304331282. The cubic root of 8456641 is about 203.7351506611.

The spelling of 8456641 in words is "eight million, four hundred fifty-six thousand, six hundred forty-one".