11305 has 16 divisors (see below), whose sum is σ = 17280.
Its totient is φ = 6912.
The previous prime is 11299. The next prime is 11311. The reversal of 11305 is 50311.
Multipling 11305 by its sum of digits (10), we get a triangular number (113050 = T475).
Adding to 11305 its reverse (50311), we get a palindrome (61616).
11305 = 292 + 302 + ... + 382.
It is an interprime number because it is at equal distance from previous prime (11299) and next prime (11311).
It is a 3-Lehmer number, since φ(11305) divides (11305-1)3.
It is a cyclic number.
It is not a de Polignac number, because 11305 - 25 = 11273 is a prime.
It is a nialpdrome in base 12.
It is a junction number, because it is equal to n+sod(n) for n = 11291 and 11300.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586 + ... + 604.
It is an arithmetic number, because the mean of its divisors is an integer number (1080).
It is a Poulet number, since it divides 211304-1.
211305 is an apocalyptic number.
It is an amenable number.
11305 is a deficient number, since it is larger than the sum of its proper divisors (5975).
11305 is a wasteful number, since it uses less digits than its factorization.
11305 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 48.
The product of its (nonzero) digits is 15, while the sum is 10.
The square root of 11305 is about 106.3249735481.
The cubic root of 11305 is about 22.4434795375.
The spelling of 11305 in words is "eleven thousand, three hundred five".