11713 has 8 divisors (see below), whose sum is σ = 13608. Its totient is φ = 9984.

The previous prime is 11701. The next prime is 11717. The reversal of 11713 is 31711.

11713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 9409 = 48^2 + 97^2 .

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

It is not a de Polignac number, because 11713 - 2⁵ = 11681 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 11693 and 11702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195 + ... + 247.

It is an arithmetic number, because the mean of its divisors is an integer number (1701).

2¹¹⁷¹³ is an apocalyptic number.

11713 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11713 is a deficient number, since it is larger than the sum of its proper divisors (1895).

11713 is a wasteful number, since it uses less digits than its factorization.

11713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83.

The product of its digits is 21, while the sum is 13.

The square root of 11713 is about 108.2266141021. The cubic root of 11713 is about 22.7102918005.

It can be divided in two parts, 117 and 13, that multiplied together give a square (1521 = 39²).

The spelling of 11713 in words is "eleven thousand, seven hundred thirteen".