Search a number
-
+
13717 = 112943
BaseRepresentation
bin11010110010101
3200211001
43112111
5414332
6143301
754664
oct32625
920731
1013717
11a340
127b31
136322
144ddb
1540e7
hex3595

13717 has 8 divisors (see below), whose sum is σ = 15840. Its totient is φ = 11760.

The previous prime is 13711. The next prime is 13721. The reversal of 13717 is 71731.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 13717 - 23 = 13709 is a prime.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 13694 and 13703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13711) 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, 298 + ... + 340.

It is an arithmetic number, because the mean of its divisors is an integer number (1980).

213717 is an apocalyptic number.

It is an amenable number.

13717 is a deficient number, since it is larger than the sum of its proper divisors (2123).

13717 is a wasteful number, since it uses less digits than its factorization.

13717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83.

The product of its digits is 147, while the sum is 19.

The square root of 13717 is about 117.1195969938. The cubic root of 13717 is about 23.9379182529.

It can be divided in two parts, 1371 and 7, that added together give a triangular number (1378 = T52).

The spelling of 13717 in words is "thirteen thousand, seven hundred seventeen".

Divisors: 1 11 29 43 319 473 1247 13717