27365 has 8 divisors (see below), whose sum is σ = 35448. Its totient is φ = 20160.

The previous prime is 27361. The next prime is 27367. The reversal of 27365 is 56372.

It can be written as a sum of positive squares in 4 ways, for example, as 1444 + 25921 = 38^2 + 161^2 .

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

It is not a de Polignac number, because 27365 - 2² = 27361 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹¹ + 7⁵ + 3⁶ + 6⁵ + 5 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27365.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 27365.

It is not an unprimeable number, because it can be changed into a prime (27361) 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, 146 + ... + 275.

It is an arithmetic number, because the mean of its divisors is an integer number (4431).

2²⁷³⁶⁵ is an apocalyptic number.

It is an amenable number.

27365 is a deficient number, since it is larger than the sum of its proper divisors (8083).

27365 is a wasteful number, since it uses less digits than its factorization.

27365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439.

The product of its digits is 1260, while the sum is 23.

The square root of 27365 is about 165.4236984232. The cubic root of 27365 is about 30.1345805516.

The spelling of 27365 in words is "twenty-seven thousand, three hundred sixty-five".