11657137 has 2 divisors, whose sum is σ = 11657138. Its totient is φ = 11657136.

The previous prime is 11657123. The next prime is 11657141. The reversal of 11657137 is 73175611.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6922161 + 4734976 = 2631^2 + 2176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11657137 is a prime.

It is a super-3 number, since 3×11657137³ (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11657099 and 11657108.

It is not a weakly prime, because it can be changed into another prime (11657197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5828568 + 5828569.

It is an arithmetic number, because the mean of its divisors is an integer number (5828569).

Almost surely, 2^11657137 is an apocalyptic number.

It is an amenable number.

11657137 is a deficient number, since it is larger than the sum of its proper divisors (1).

11657137 is an equidigital number, since it uses as much as digits as its factorization.

11657137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4410, while the sum is 31.

The square root of 11657137 is about 3414.2549699751. The cubic root of 11657137 is about 226.7413006342.

The spelling of 11657137 in words is "eleven million, six hundred fifty-seven thousand, one hundred thirty-seven".