115319 has 2 divisors, whose sum is σ = 115320. Its totient is φ = 115318.

The previous prime is 115309. The next prime is 115321. The reversal of 115319 is 913511.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 115319 - 2⁴ = 115303 is a prime.

It is a super-2 number, since 2×115319² = 26596943522, which contains 22 as substring.

Together with 115321, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 115319.

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 115319.

It is not a weakly prime, because it can be changed into another prime (115309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57659 + 57660.

It is an arithmetic number, because the mean of its divisors is an integer number (57660).

2¹¹⁵³¹⁹ is an apocalyptic number.

115319 is a deficient number, since it is larger than the sum of its proper divisors (1).

115319 is an equidigital number, since it uses as much as digits as its factorization.

115319 is an evil number, because the sum of its binary digits is even.

The product of its digits is 135, while the sum is 20.

The square root of 115319 is about 339.5865132775. The cubic root of 115319 is about 48.6743644128.

It can be divided in two parts, 115 and 319, that added together give a palindrome (434).

The spelling of 115319 in words is "one hundred fifteen thousand, three hundred nineteen".