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11689 is a prime number
BaseRepresentation
bin10110110101001
3121000221
42312221
5333224
6130041
746036
oct26651
917027
1011689
118867
126921
135422
14438d
1536e4
hex2da9

11689 has 2 divisors, whose sum is σ = 11690. Its totient is φ = 11688.

The previous prime is 11681. The next prime is 11699. The reversal of 11689 is 98611.

Subtracting from 11689 its sum of digits (25), we obtain a square (11664 = 1082).

Adding to 11689 its product of digits (432), we get a palindrome (12121).

11689 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11664 + 25 = 108^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 11689 - 23 = 11681 is a prime.

It is a plaindrome in base 10.

It is a nialpdrome in base 13.

It is not a weakly prime, because it can be changed into another prime (11681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5844 + 5845.

It is an arithmetic number, because the mean of its divisors is an integer number (5845).

211689 is an apocalyptic number.

It is an amenable number.

11689 is a deficient number, since it is larger than the sum of its proper divisors (1).

11689 is an equidigital number, since it uses as much as digits as its factorization.

11689 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 25.

The square root of 11689 is about 108.1156787890. The cubic root of 11689 is about 22.6947700243.

The spelling of 11689 in words is "eleven thousand, six hundred eighty-nine".