2365 has 8 divisors (see below), whose sum is σ = 3168. Its totient is φ = 1680.

The previous prime is 2357. The next prime is 2371. The reversal of 2365 is 5632.

2365 = T₁₅ + T₁₆ + ... + T₂₅.

2365 is nontrivially palindromic in base 6 and base 15.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2365 - 2³ = 2357 is a prime.

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

2365 is an undulating number in base 15.

2365 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34 + ... + 76.

It is an arithmetic number, because the mean of its divisors is an integer number (396).

2²³⁶⁵ is an apocalyptic number.

It is an amenable number.

2365 is a deficient number, since it is larger than the sum of its proper divisors (803).

2365 is a wasteful number, since it uses less digits than its factorization.

2365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59.

The product of its digits is 180, while the sum is 16.

The square root of 2365 is about 48.6312656632. The cubic root of 2365 is about 13.3232562748.

Adding to 2365 its reverse (5632), we get a palindrome (7997).

It can be divided in two parts, 23 and 65, that added together give a palindrome (88).

The spelling of 2365 in words is "two thousand, three hundred sixty-five".