8365 has 8 divisors (see below), whose sum is σ = 11520. Its totient is φ = 5712.

The previous prime is 8363. The next prime is 8369. The reversal of 8365 is 5638.

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

It is not a de Polignac number, because 8365 - 2¹ = 8363 is a prime.

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

8365 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8363) 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, 85 + ... + 154.

It is an arithmetic number, because the mean of its divisors is an integer number (1440).

2⁸³⁶⁵ is an apocalyptic number.

It is an amenable number.

8365 is a deficient number, since it is larger than the sum of its proper divisors (3155).

8365 is a wasteful number, since it uses less digits than its factorization.

8365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251.

The product of its digits is 720, while the sum is 22.

The square root of 8365 is about 91.4603739332. The cubic root of 8365 is about 20.2996546003.

It can be divided in two parts, 836 and 5, that added together give a square (841 = 29²).

The spelling of 8365 in words is "eight thousand, three hundred sixty-five".