11505 has 16 divisors (see below), whose sum is σ = 20160. Its totient is φ = 5568.

The previous prime is 11503. The next prime is 11519. The reversal of 11505 is 50511.

11505 = T₄₆ + T₄₇ + ... + T₅₄.

11505 is nontrivially palindromic in base 7.

It is not a de Polignac number, because 11505 - 2¹ = 11503 is a prime.

It is a Curzon number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (11503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166 + ... + 224.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

11505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11505 is a deficient number, since it is larger than the sum of its proper divisors (8655).

11505 is a wasteful number, since it uses less digits than its factorization.

11505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80.

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 11505 is about 107.2613630344. The cubic root of 11505 is about 22.5750579769.

It can be divided in two parts, 11 and 505, that multiplied together give a palindrome (5555).

The spelling of 11505 in words is "eleven thousand, five hundred five".