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107509 is a prime number

107509 has 2 divisors, whose sum is σ = 107510. Its totient is φ = 107508.

The previous prime is 107507. The next prime is 107563. The reversal of 107509 is 905701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84100 + 23409 = 290^2 + 153^2 .

It is an emirp because it is prime and its reverse (905701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 107509 - 21 = 107507 is a prime.

Together with 107507, it forms a pair of twin primes.

It is a Chen prime.

107509 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 107509.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53754 + 53755.

It is an arithmetic number, because the mean of its divisors is an integer number (53755).

2107509 is an apocalyptic number.

It is an amenable number.

107509 is a deficient number, since it is larger than the sum of its proper divisors (1).

107509 is an equidigital number, since it uses as much as digits as its factorization.

107509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 107509 is about 327.8856507992. The cubic root of 107509 is about 47.5497539611.

It can be divided in two parts, 107 and 509, that added together give a palindrome (616).

The spelling of 107509 in words is "one hundred seven thousand, five hundred nine".