65965 has 8 divisors (see below), whose sum is σ = 80640. Its totient is φ = 51792.

The previous prime is 65963. The next prime is 65981. The reversal of 65965 is 56956.

It is a happy number.

65965 is nontrivially palindromic in base 6.

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

It is a cyclic number.

It is not a de Polignac number, because 65965 - 2¹ = 65963 is a prime.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312 + ... + 478.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2⁶⁵⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

65965 is a deficient number, since it is larger than the sum of its proper divisors (14675).

65965 is a wasteful number, since it uses less digits than its factorization.

65965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251.

The product of its digits is 8100, while the sum is 31.

The square root of 65965 is about 256.8365238824. The cubic root of 65965 is about 40.4052553370.

Subtracting from 65965 its reverse (56956), we obtain a palindrome (9009).

The spelling of 65965 in words is "sixty-five thousand, nine hundred sixty-five".