115311 has 24 divisors (see below), whose sum is σ = 196480. Its totient is φ = 58752.

The previous prime is 115309. The next prime is 115319. The reversal of 115311 is 113511.

115311 = T₁₇₈ + T₁₇₉ + ... + T₁₈₄.

It is not a de Polignac number, because 115311 - 2¹ = 115309 is a prime.

It is a Duffinian number.

115311 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6060 + ... + 6078.

2¹¹⁵³¹¹ is an apocalyptic number.

115311 is a deficient number, since it is larger than the sum of its proper divisors (81169).

115311 is a wasteful number, since it uses less digits than its factorization.

115311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 46 counting only the distinct ones).

The product of its digits is 15, while the sum is 12.

The square root of 115311 is about 339.5747340424. The cubic root of 115311 is about 48.6732388280.

Adding to 115311 its reverse (113511), we get a palindrome (228822).

The spelling of 115311 in words is "one hundred fifteen thousand, three hundred eleven".