9257 has 2 divisors, whose sum is σ = 9258. Its totient is φ = 9256.

The previous prime is 9241. The next prime is 9277. The reversal of 9257 is 7529.

9257 is digitally balanced in base 3, 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., 5776 + 3481 = 76^2 + 59^2 .

It is an emirp because it is prime and its reverse (7529) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9257 - 2⁴ = 9241 is a prime.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9257.

It is not a weakly prime, because it can be changed into another prime (9227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4628 + 4629.

It is an arithmetic number, because the mean of its divisors is an integer number (4629).

2⁹²⁵⁷ is an apocalyptic number.

It is an amenable number.

9257 is a deficient number, since it is larger than the sum of its proper divisors (1).

9257 is an equidigital number, since it uses as much as digits as its factorization.

9257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 630, while the sum is 23.

The square root of 9257 is about 96.2133046933. The cubic root of 9257 is about 20.9969761330.

Subtracting from 9257 its reverse (7529), we obtain a cube (1728 = 12³).

The spelling of 9257 in words is "nine thousand, two hundred fifty-seven".