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8097217 is a prime number
BaseRepresentation
bin11110111000110111000001
3120020101021221
4132320313001
54033102332
6445315041
7125553022
oct36706701
916211257
108097217
114630617
122865a81
1318a676b
14110ac49
15a9e297
hex7b8dc1

8097217 has 2 divisors, whose sum is σ = 8097218. Its totient is φ = 8097216.

The previous prime is 8097203. The next prime is 8097227. The reversal of 8097217 is 7127908.

8097217 is digitally balanced in base 3, 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., 6922161 + 1175056 = 2631^2 + 1084^2 .

It is a cyclic number.

It is not a de Polignac number, because 8097217 - 215 = 8064449 is a prime.

8097217 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (8097227) 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, 4048608 + 4048609.

It is an arithmetic number, because the mean of its divisors is an integer number (4048609).

Almost surely, 28097217 is an apocalyptic number.

It is an amenable number.

8097217 is a deficient number, since it is larger than the sum of its proper divisors (1).

8097217 is an equidigital number, since it uses as much as digits as its factorization.

8097217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 8097217 is about 2845.5609288856. The cubic root of 8097217 is about 200.8068819962.

The spelling of 8097217 in words is "eight million, ninety-seven thousand, two hundred seventeen".