13485713 has 6 divisors (see below), whose sum is σ = 13935762. Its totient is φ = 13049760.

The previous prime is 13485701. The next prime is 13485721. The reversal of 13485713 is 31758431.

13485713 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 only one way, i.e., 9042049 + 4443664 = 3007^2 + 2108^2 .

It is not a de Polignac number, because 13485713 - 2⁸ = 13485457 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13485713.

It is not an unprimeable number, because it can be changed into a prime (13485793) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6056 + ... + 7977.

It is an arithmetic number, because the mean of its divisors is an integer number (2322627).

Almost surely, 2^13485713 is an apocalyptic number.

It is an amenable number.

13485713 is a deficient number, since it is larger than the sum of its proper divisors (450049).

13485713 is an equidigital number, since it uses as much as digits as its factorization.

13485713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14095 (or 14064 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 13485713 is about 3672.2898850717. The cubic root of 13485713 is about 238.0261311138.

The spelling of 13485713 in words is "thirteen million, four hundred eighty-five thousand, seven hundred thirteen".