11657313 has 12 divisors (see below), whose sum is σ = 16953300. Its totient is φ = 7718496.

The previous prime is 11657311. The next prime is 11657323. The reversal of 11657313 is 31375611.

11657313 is a `hidden beast` number, since 1 + 1 + 657 + 3 + 1 + 3 = 666.

11657313 is digitally balanced in base 3, 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 2 ways, for example, as 944784 + 10712529 = 972^2 + 3273^2 .

It is not a de Polignac number, because 11657313 - 2¹ = 11657311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11657311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3006 + ... + 5687.

It is an arithmetic number, because the mean of its divisors is an integer number (1412775).

Almost surely, 2^11657313 is an apocalyptic number.

It is an amenable number.

11657313 is a deficient number, since it is larger than the sum of its proper divisors (5295987).

11657313 is a wasteful number, since it uses less digits than its factorization.

11657313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8848 (or 8845 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 11657313 is about 3414.2807441685. The cubic root of 11657313 is about 226.7424417454.

The spelling of 11657313 in words is "eleven million, six hundred fifty-seven thousand, three hundred thirteen".