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9157 is a prime number
BaseRepresentation
bin10001111000101
3110120011
42033011
5243112
6110221
735461
oct21705
913504
109157
116975
125371
134225
1434a1
152aa7
hex23c5

9157 has 2 divisors, whose sum is σ = 9158. Its totient is φ = 9156.

The previous prime is 9151. The next prime is 9161. The reversal of 9157 is 7519.

9157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6241 + 2916 = 79^2 + 54^2 .

It is a cyclic number.

It is not a de Polignac number, because 9157 - 27 = 9029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9151) 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, 4578 + 4579.

It is an arithmetic number, because the mean of its divisors is an integer number (4579).

29157 is an apocalyptic number.

It is an amenable number.

9157 is a deficient number, since it is larger than the sum of its proper divisors (1).

9157 is an equidigital number, since it uses as much as digits as its factorization.

9157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 315, while the sum is 22.

The square root of 9157 is about 95.6922149394. The cubic root of 9157 is about 20.9210946712.

The spelling of 9157 in words is "nine thousand, one hundred fifty-seven".