103713 has 8 divisors (see below), whose sum is σ = 139776. Its totient is φ = 68400.

The previous prime is 103703. The next prime is 103723. The reversal of 103713 is 317301.

It is an interprime number because it is at equal distance from previous prime (103703) and next prime (103723).

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

It is not a de Polignac number, because 103713 - 2⁵ = 103681 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 103692 and 103701.

It is not an unprimeable number, because it can be changed into a prime (103703) 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, 448 + ... + 638.

It is an arithmetic number, because the mean of its divisors is an integer number (17472).

2¹⁰³⁷¹³ is an apocalyptic number.

It is an amenable number.

103713 is a deficient number, since it is larger than the sum of its proper divisors (36063).

103713 is a wasteful number, since it uses less digits than its factorization.

103713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375.

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 103713 is about 322.0450279076. The cubic root of 103713 is about 46.9833953718.

It can be divided in two parts, 10371 and 3, that multiplied together give a palindrome (31113).

The spelling of 103713 in words is "one hundred three thousand, seven hundred thirteen".