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8287 is a prime number
BaseRepresentation
bin10000001011111
3102100221
42001133
5231122
6102211
733106
oct20137
912327
108287
116254
124967
133a06
14303d
1526c7
hex205f

8287 has 2 divisors, whose sum is σ = 8288. Its totient is φ = 8286.

The previous prime is 8273. The next prime is 8291. The reversal of 8287 is 7828.

It can be divided in two parts, 82 and 87, that added together give a square (169 = 132).

8287 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-8287 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8237) 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, 4143 + 4144.

It is an arithmetic number, because the mean of its divisors is an integer number (4144).

28287 is an apocalyptic number.

8287 is a deficient number, since it is larger than the sum of its proper divisors (1).

8287 is an equidigital number, since it uses as much as digits as its factorization.

8287 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 896, while the sum is 25.

The square root of 8287 is about 91.0329610636. The cubic root of 8287 is about 20.2363623056.

The spelling of 8287 in words is "eight thousand, two hundred eighty-seven".