2265 has 8 divisors (see below), whose sum is σ = 3648. Its totient is φ = 1200.

The previous prime is 2251. The next prime is 2267. The reversal of 2265 is 5622.

2265 = T_{6} + T_{7} + ... +
T_{23}.

2265 is nontrivially palindromic in base 14.

2265 is digitally balanced in base 2, 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 2265 - 2^{7} = 2137 is a prime.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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: 151 = 2265 / (2 + 2 + 6 + 5).

2265 is an undulating number in base 14.

It is a plaindrome in base 11 and base 12.

It is a nialpdrome in base 8 and base 15.

It is not an unprimeable number, because it can be changed into a prime (2267) 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, 61 + ... + 90.

It is an arithmetic number, because the mean of its divisors is an integer number (456).

2^{2265} is an apocalyptic number.

It is an amenable number.

2265 is a deficient number, since it is larger than the sum of its proper divisors (1383).

2265 is a wasteful number, since it uses less digits than its factorization.

2265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159.

The product of its digits is 120, while the sum is 15.

The square root of 2265 is about 47.5920161372. The cubic root of 2265 is about 13.1327618488.

2265 divided by its sum of digits (15) gives a palindrome (151).

Subtracting from 2265 its product of digits (120), we obtain a triangular number (2145 = T_{65}).

Adding to 2265 its reverse (5622), we get a palindrome (7887).

It can be divided in two parts, 226 and 5, that added together give a triangular number (231 = T_{21}).

The spelling of 2265 in words is "two thousand, two hundred sixty-five".

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