13965 has 24 divisors (see below), whose sum is σ = 27360. Its totient is φ = 6048.

The previous prime is 13963. The next prime is 13967. The reversal of 13965 is 56931.

It is an interprime number because it is at equal distance from previous prime (13963) and next prime (13967).

It is not a de Polignac number, because 13965 - 2¹ = 13963 is a prime.

It is a plaindrome in base 16.

It is a nialpdrome in base 7 and base 15.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726 + ... + 744.

It is an arithmetic number, because the mean of its divisors is an integer number (1140).

2¹³⁹⁶⁵ is an apocalyptic number.

13965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13965 is a deficient number, since it is larger than the sum of its proper divisors (13395).

13965 is a wasteful number, since it uses less digits than its factorization.

13965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 34 counting only the distinct ones).

The product of its digits is 810, while the sum is 24.

The square root of 13965 is about 118.1736011129. The cubic root of 13965 is about 24.0813213625.

The spelling of 13965 in words is "thirteen thousand, nine hundred sixty-five".