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8387 is a prime number
BaseRepresentation
bin10000011000011
3102111122
42003003
5232022
6102455
733311
oct20303
912448
108387
116335
124a2b
133a82
1430b1
152742
hex20c3

8387 has 2 divisors, whose sum is σ = 8388. Its totient is φ = 8386.

The previous prime is 8377. The next prime is 8389. The reversal of 8387 is 7838.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-8387 is a prime.

Together with 8389, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 9.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is not a weakly prime, because it can be changed into another prime (8389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4193 + 4194.

It is an arithmetic number, because the mean of its divisors is an integer number (4194).

28387 is an apocalyptic number.

8387 is a deficient number, since it is larger than the sum of its proper divisors (1).

8387 is an equidigital number, since it uses as much as digits as its factorization.

8387 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1344, while the sum is 26.

The square root of 8387 is about 91.5805656239. The cubic root of 8387 is about 20.3174350928.

The spelling of 8387 in words is "eight thousand, three hundred eighty-seven".