8582641 has 2 divisors, whose sum is σ = 8582642. Its totient is φ = 8582640.

The previous prime is 8582617. The next prime is 8582659. The reversal of 8582641 is 1462858.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8579041 + 3600 = 2929^2 + 60^2 .

It is a cyclic number.

It is not a de Polignac number, because 8582641 - 2¹⁹ = 8058353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8582597 and 8582606.

It is not a weakly prime, because it can be changed into another prime (8582741) 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, 4291320 + 4291321.

It is an arithmetic number, because the mean of its divisors is an integer number (4291321).

Almost surely, 2^8582641 is an apocalyptic number.

It is an amenable number.

8582641 is a deficient number, since it is larger than the sum of its proper divisors (1).

8582641 is an equidigital number, since it uses as much as digits as its factorization.

8582641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15360, while the sum is 34.

The square root of 8582641 is about 2929.6144797567. The cubic root of 8582641 is about 204.7420193253.

The spelling of 8582641 in words is "eight million, five hundred eighty-two thousand, six hundred forty-one".