65517 has 4 divisors (see below), whose sum is σ = 87360. Its totient is φ = 43676.

The previous prime is 65497. The next prime is 65519. The reversal of 65517 is 71556.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 65517 - 2¹⁵ = 32749 is a prime.

It is a D-number.

It is a nialpdrome in base 16.

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 65517.

It is not an unprimeable number, because it can be changed into a prime (65519) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10917 + ... + 10922.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2⁶⁵⁵¹⁷ is an apocalyptic number.

It is an amenable number.

65517 is a deficient number, since it is larger than the sum of its proper divisors (21843).

65517 is a wasteful number, since it uses less digits than its factorization.

65517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21842.

The product of its digits is 1050, while the sum is 24.

The square root of 65517 is about 255.9628879350. The cubic root of 65517 is about 40.3135769798.

The spelling of 65517 in words is "sixty-five thousand, five hundred seventeen".