8965 has 8 divisors (see below), whose sum is σ = 11808. Its totient is φ = 6480.

The previous prime is 8963. The next prime is 8969. The reversal of 8965 is 5698.

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

It is not a de Polignac number, because 8965 - 2¹ = 8963 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27 + ... + 136.

It is an arithmetic number, because the mean of its divisors is an integer number (1476).

2⁸⁹⁶⁵ is an apocalyptic number.

8965 is the 55-th octagonal number.

It is an amenable number.

8965 is a deficient number, since it is larger than the sum of its proper divisors (2843).

8965 is a wasteful number, since it uses less digits than its factorization.

8965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179.

The product of its digits is 2160, while the sum is 28.

The square root of 8965 is about 94.6836839165. The cubic root of 8965 is about 20.7738391519.

The spelling of 8965 in words is "eight thousand, nine hundred sixty-five".