13995 has 12 divisors (see below), whose sum is σ = 24336. Its totient is φ = 7440.

The previous prime is 13967. The next prime is 13997. The reversal of 13995 is 59931.

It is not a de Polignac number, because 13995 - 2⁵ = 13963 is a prime.

It is a nude number because it is divisible by every one of its digits.

13995 is a lucky number.

It is a plaindrome in base 16.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (13997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111 + ... + 200.

It is an arithmetic number, because the mean of its divisors is an integer number (2028).

2¹³⁹⁹⁵ is an apocalyptic number.

13995 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13995 is a deficient number, since it is larger than the sum of its proper divisors (10341).

13995 is a wasteful number, since it uses less digits than its factorization.

13995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 319 counting only the distinct ones).

The product of its digits is 1215, while the sum is 27.

The square root of 13995 is about 118.3004649188. The cubic root of 13995 is about 24.0985530831.

The spelling of 13995 in words is "thirteen thousand, nine hundred ninety-five".