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115301 is a prime number

115301 has 2 divisors, whose sum is σ = 115302. Its totient is φ = 115300.

The previous prime is 115279. The next prime is 115303. The reversal of 115301 is 103511.

Adding to 115301 its reverse (103511), we get a palindrome (218812).

It can be divided in two parts, 11 and 5301, that multiplied together give a triangular number (58311 = T341).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106276 + 9025 = 326^2 + 95^2 .

It is an emirp because it is prime and its reverse (103511) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 115301 - 26 = 115237 is a prime.

Together with 115303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 115301.

It is not a weakly prime, because it can be changed into another prime (115303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57650 + 57651.

It is an arithmetic number, because the mean of its divisors is an integer number (57651).

2115301 is an apocalyptic number.

It is an amenable number.

115301 is a deficient number, since it is larger than the sum of its proper divisors (1).

115301 is an equidigital number, since it uses as much as digits as its factorization.

115301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 115301 is about 339.5600094240. The cubic root of 115301 is about 48.6718317739.

The spelling of 115301 in words is "one hundred fifteen thousand, three hundred one".