4365 has 12 divisors (see below), whose sum is σ = 7644. Its totient is φ = 2304.

The previous prime is 4363. The next prime is 4373. The reversal of 4365 is 5634.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1764 + 2601 = 42^2 + 51^2 .

It is not a de Polignac number, because 4365 - 2¹ = 4363 is a prime.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4 + ... + 93.

It is an arithmetic number, because the mean of its divisors is an integer number (637).

2⁴³⁶⁵ is an apocalyptic number.

4365 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4365 is a deficient number, since it is larger than the sum of its proper divisors (3279).

4365 is a wasteful number, since it uses less digits than its factorization.

4365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 105 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 4365 is about 66.0681466366. The cubic root of 4365 is about 16.3428608396.

Subtracting from 4365 its product of digits (360), we obtain a triangular number (4005 = T₈₉).

Adding to 4365 its reverse (5634), we get a palindrome (9999).

It can be divided in two parts, 436 and 5, that added together give a square (441 = 21²).

The spelling of 4365 in words is "four thousand, three hundred sixty-five".