13195 has 16 divisors (see below), whose sum is σ = 20160. Its totient is φ = 8064.

The previous prime is 13187. The next prime is 13217. The reversal of 13195 is 59131.

13195 is nontrivially palindromic in base 8 and base 12.

It is not a de Polignac number, because 13195 - 2³ = 13187 is a prime.

13195 is a nontrivial repdigit in base 12.

It is a plaindrome in base 12 and base 16.

It is a nialpdrome in base 7 and base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441 + ... + 469.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

2¹³¹⁹⁵ is an apocalyptic number.

13195 is a deficient number, since it is larger than the sum of its proper divisors (6965).

13195 is a wasteful number, since it uses less digits than its factorization.

13195 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54.

The product of its digits is 135, while the sum is 19.

The square root of 13195 is about 114.8694911628. The cubic root of 13195 is about 23.6303306281.

The spelling of 13195 in words is "thirteen thousand, one hundred ninety-five".