11657 has 2 divisors, whose sum is σ = 11658. Its totient is φ = 11656.

The previous prime is 11633. The next prime is 11677. The reversal of 11657 is 75611.

11657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (11677) can be obtained adding 11657 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10816 + 841 = 104^2 + 29^2 .

It is an emirp because it is prime and its reverse (75611) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11657 - 2⁶ = 11593 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (11617) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5828 + 5829.

It is an arithmetic number, because the mean of its divisors is an integer number (5829).

2¹¹⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

11657 is a deficient number, since it is larger than the sum of its proper divisors (1).

11657 is an equidigital number, since it uses as much as digits as its factorization.

11657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 210, while the sum is 20.

The square root of 11657 is about 107.9675877289. The cubic root of 11657 is about 22.6740412375.

It can be divided in two parts, 11 and 657, that multiplied together give a palindrome (7227).

The spelling of 11657 in words is "eleven thousand, six hundred fifty-seven".