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9137 is a prime number
BaseRepresentation
bin10001110110001
3110112102
42032301
5243022
6110145
735432
oct21661
913472
109137
116957
125355
13420b
143489
152a92
hex23b1

9137 has 2 divisors, whose sum is σ = 9138. Its totient is φ = 9136.

The previous prime is 9133. The next prime is 9151. The reversal of 9137 is 7319.

It can be divided in two parts, 91 and 37, that added together give a 7-th power (128 = 27).

9137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5041 + 4096 = 71^2 + 64^2 .

9137 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 9137 - 22 = 9133 is a prime.

It is an Ulam number.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9137.

It is not a weakly prime, because it can be changed into another prime (9133) 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 as a sum of consecutive naturals, namely, 4568 + 4569.

It is an arithmetic number, because the mean of its divisors is an integer number (4569).

29137 is an apocalyptic number.

It is an amenable number.

9137 is a deficient number, since it is larger than the sum of its proper divisors (1).

9137 is an equidigital number, since it uses as much as digits as its factorization.

9137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 189, while the sum is 20.

The square root of 9137 is about 95.5876561068. The cubic root of 9137 is about 20.9058521649.

The spelling of 9137 in words is "nine thousand, one hundred thirty-seven".