65365 has 8 divisors (see below), whose sum is σ = 83160. Its totient is φ = 49152.

The previous prime is 65357. The next prime is 65371. The reversal of 65365 is 56356.

It can be written as a sum of positive squares in 4 ways, for example, as 10609 + 54756 = 103^2 + 234^2 .

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

It is a 7-Lehmer number, since φ(65365) divides (65365-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 65365 - 2³ = 65357 is a prime.

It is a plaindrome in base 15.

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300 + ... + 469.

It is an arithmetic number, because the mean of its divisors is an integer number (10395).

2⁶⁵³⁶⁵ is an apocalyptic number.

It is an amenable number.

65365 is a deficient number, since it is larger than the sum of its proper divisors (17795).

65365 is a wasteful number, since it uses less digits than its factorization.

65365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791.

The product of its digits is 2700, while the sum is 25.

The square root of 65365 is about 255.6657974779. The cubic root of 65365 is about 40.2823768915.

Subtracting from 65365 its reverse (56356), we obtain a palindrome (9009).

The spelling of 65365 in words is "sixty-five thousand, three hundred sixty-five".