66065 has 8 divisors (see below), whose sum is σ = 80808. Its totient is φ = 51840.

The previous prime is 66047. The next prime is 66067. The reversal of 66065 is 56066.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 66049 = 4^2 + 257^2 .

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

It is not a de Polignac number, because 66065 - 2⁸ = 65809 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 66065.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66065.

It is not an unprimeable number, because it can be changed into a prime (66067) 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, 275 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (10101).

2⁶⁶⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

66065 is a deficient number, since it is larger than the sum of its proper divisors (14743).

66065 is a wasteful number, since it uses less digits than its factorization.

66065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 66065 is about 257.0311265197. The cubic root of 66065 is about 40.4256625504.

Subtracting from 66065 its reverse (56066), we obtain a palindrome (9999).

The spelling of 66065 in words is "sixty-six thousand, sixty-five".