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3109 is a prime number

3109 has 2 divisors, whose sum is σ = 3110. Its totient is φ = 3108.

The previous prime is 3089. The next prime is 3119. The reversal of 3109 is 9013.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2209 + 900 = 47^2 + 30^2 .

It is an emirp because it is prime and its reverse (9013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3109 - 211 = 1061 is a prime.

It is an Ulam number.

3109 is a lucky number.

It is a plaindrome in base 11.

It is a nialpdrome in base 6 and base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3119) 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, 1554 + 1555.

It is an arithmetic number, because the mean of its divisors is an integer number (1555).

It is an amenable number.

3109 is a deficient number, since it is larger than the sum of its proper divisors (1).

3109 is an equidigital number, since it uses as much as digits as its factorization.

3109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 3109 is about 55.7584074378. The cubic root of 3109 is about 14.5950943674.

Adding to 3109 its product of nonzero digits (27), we get a square (3136 = 562).

The spelling of 3109 in words is "three thousand, one hundred nine".