10289 has 2 divisors, whose sum is σ = 10290. Its totient is φ = 10288.

The previous prime is 10273. The next prime is 10301. The reversal of 10289 is 98201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10000 + 289 = 100^2 + 17^2 .

It is a cyclic number.

It is not a de Polignac number, because 10289 - 2^{4} = 10273 is a prime.

It is a Chen prime.

It is a self number, because there is not a number *n* which added to its sum of digits gives 10289.

It is not a weakly prime, because it can be changed into another prime (10259) 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, 5144 + 5145.

It is an arithmetic number, because the mean of its divisors is an integer number (5145).

2^{10289} is an apocalyptic number.

It is an amenable number.

10289 is a deficient number, since it is larger than the sum of its proper divisors (1).

10289 is an equidigital number, since it uses as much as digits as its factorization.

10289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 10289 is about 101.4347080639. The cubic root of 10289 is about 21.7499229310.

It can be divided in two parts, 102 and 89, that added together give a palindrome (191).

The spelling of 10289 in words is "ten thousand, two hundred eighty-nine".

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