11265 has 8 divisors (see below), whose sum is σ = 18048. Its totient is φ = 6000.

The previous prime is 11261. The next prime is 11273. The reversal of 11265 is 56211.

11265 = T₂₆ + T₂₇ + ... + T₄₃.

11265 is digitally balanced in base 6, because in such base 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 11265 - 2² = 11261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 751 = 11265 / (1 + 1 + 2 + 6 + 5).

11265 is strictly pandigital in base 6.

It is a Curzon number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 361 + ... + 390.

It is an arithmetic number, because the mean of its divisors is an integer number (2256).

It is a Proth number, since it is equal to 11 ⋅ 2¹⁰ + 1 and 11 < 2¹⁰.

2¹¹²⁶⁵ is an apocalyptic number.

11265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11265 is a deficient number, since it is larger than the sum of its proper divisors (6783).

11265 is an equidigital number, since it uses as much as digits as its factorization.

11265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759.

The product of its digits is 60, while the sum is 15.

The square root of 11265 is about 106.1367043016. The cubic root of 11265 is about 22.4169779872.

Adding to 11265 its product of digits (60), we get a triangular number (11325 = T₁₅₀).

Adding to 11265 its reverse (56211), we get a palindrome (67476).

It can be divided in two parts, 11 and 265, that added together give a triangular number (276 = T₂₃).

The spelling of 11265 in words is "eleven thousand, two hundred sixty-five".