11315 has 8 divisors (see below), whose sum is σ = 14208. Its totient is φ = 8640.

The previous prime is 11311. The next prime is 11317. The reversal of 11315 is 51311.

11315 = T₁₀ + T₁₁ + ... + T₄₀.

11315 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 11315 - 2² = 11311 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 11296 and 11305.

It is not an unprimeable number, because it can be changed into a prime (11311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119 + ... + 191.

It is an arithmetic number, because the mean of its divisors is an integer number (1776).

2¹¹³¹⁵ is an apocalyptic number.

11315 is a deficient number, since it is larger than the sum of its proper divisors (2893).

11315 is an equidigital number, since it uses as much as digits as its factorization.

11315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109.

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

The square root of 11315 is about 106.3719887940. The cubic root of 11315 is about 22.4500951545.

Adding to 11315 its reverse (51311), we get a palindrome (62626).

It can be divided in two parts, 113 and 15, that added together give a 7-th power (128 = 2⁷).

The spelling of 11315 in words is "eleven thousand, three hundred fifteen".