14965 has 8 divisors (see below), whose sum is σ = 18648. Its totient is φ = 11520.

The previous prime is 14957. The next prime is 14969. The reversal of 14965 is 56941.

14965 = 86² + 87².

It can be written as a sum of positive squares in 4 ways, for example, as 81 + 14884 = 9^2 + 122^2 .

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

It is not a de Polignac number, because 14965 - 2³ = 14957 is a prime.

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

It is a Duffinian number.

It is a plaindrome in base 9 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14969) 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, 169 + ... + 241.

It is an arithmetic number, because the mean of its divisors is an integer number (2331).

2¹⁴⁹⁶⁵ is an apocalyptic number.

14965 is the 87-th centered square number.

It is an amenable number.

14965 is a deficient number, since it is larger than the sum of its proper divisors (3683).

14965 is an equidigital number, since it uses as much as digits as its factorization.

14965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119.

The product of its digits is 1080, while the sum is 25.

The square root of 14965 is about 122.3315167894. The cubic root of 14965 is about 24.6429241554.

It can be divided in two parts, 14 and 965, that added together give a palindrome (979).

The spelling of 14965 in words is "fourteen thousand, nine hundred sixty-five".