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8389 is a prime number
BaseRepresentation
bin10000011000101
3102111201
42003011
5232024
6102501
733313
oct20305
912451
108389
116337
124a31
133a84
1430b3
152744
hex20c5

8389 has 2 divisors, whose sum is σ = 8390. Its totient is φ = 8388.

The previous prime is 8387. The next prime is 8419. The reversal of 8389 is 9838.

8389 is nontrivially palindromic in base 3.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8100 + 289 = 90^2 + 17^2 .

It is a cyclic number.

It is not a de Polignac number, because 8389 - 21 = 8387 is a prime.

Together with 8387, 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 congruent number.

It is not a weakly prime, because it can be changed into another prime (8387) 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, 4194 + 4195.

It is an arithmetic number, because the mean of its divisors is an integer number (4195).

28389 is an apocalyptic number.

It is an amenable number.

8389 is a deficient number, since it is larger than the sum of its proper divisors (1).

8389 is an equidigital number, since it uses as much as digits as its factorization.

8389 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 28.

The square root of 8389 is about 91.5914843203. The cubic root of 8389 is about 20.3190499587.

The spelling of 8389 in words is "eight thousand, three hundred eighty-nine".