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10909 is a prime number
BaseRepresentation
bin10101010011101
3112222001
42222131
5322114
6122301
743543
oct25235
915861
1010909
118218
126391
134c72
143d93
153374
hex2a9d

10909 has 2 divisors, whose sum is σ = 10910. Its totient is φ = 10908.

The previous prime is 10903. The next prime is 10937. The reversal of 10909 is 90901.

It can be divided in two parts, 10 and 909, that added together give a palindrome (919).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8100 + 2809 = 90^2 + 53^2 .

It is an emirp because it is prime and its reverse (90901) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10909 - 27 = 10781 is a prime.

It is a Chen prime.

It is an Ulam number.

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

10909 is a modest number, since divided by 909 gives 1 as remainder.

10909 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5454 + 5455.

It is an arithmetic number, because the mean of its divisors is an integer number (5455).

210909 is an apocalyptic number.

It is an amenable number.

10909 is a deficient number, since it is larger than the sum of its proper divisors (1).

10909 is an equidigital number, since it uses as much as digits as its factorization.

10909 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 19.

The square root of 10909 is about 104.4461583784. The cubic root of 10909 is about 22.1783030719.

The spelling of 10909 in words is "ten thousand, nine hundred nine".