13695 has 16 divisors (see below), whose sum is σ = 24192. Its totient is φ = 6560.

The previous prime is 13693. The next prime is 13697. The reversal of 13695 is 59631.

13695 is a nontrivial binomial coefficient, being equal to C(166, 2).

It is an interprime number because it is at equal distance from previous prime (13693) and next prime (13697).

It is not a de Polignac number, because 13695 - 2¹ = 13693 is a prime.

13695 is a lucky number.

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124 + ... + 206.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

2¹³⁶⁹⁵ is an apocalyptic number.

13695 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13695 is the 165-th triangular number and also the 83-rd hexagonal number.

13695 is a deficient number, since it is larger than the sum of its proper divisors (10497).

13695 is a wasteful number, since it uses less digits than its factorization.

13695 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102.

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

The square root of 13695 is about 117.0256382166. The cubic root of 13695 is about 23.9251138010.

It can be divided in two parts, 136 and 95, that added together give a triangular number (231 = T₂₁).

The spelling of 13695 in words is "thirteen thousand, six hundred ninety-five".