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18257 is a prime number

18257 has 2 divisors, whose sum is σ = 18258. Its totient is φ = 18256.

The previous prime is 18253. The next prime is 18269. The reversal of 18257 is 75281.

18257 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., 14161 + 4096 = 119^2 + 64^2 .

It is a cyclic number.

It is not a de Polignac number, because 18257 - 22 = 18253 is a prime.

It is a super-4 number, since 4×182574 = 444403687156665604, which contains 4444 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 18257.

It is not a weakly prime, because it can be changed into another prime (18251) 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, 9128 + 9129.

It is an arithmetic number, because the mean of its divisors is an integer number (9129).

218257 is an apocalyptic number.

It is an amenable number.

18257 is a deficient number, since it is larger than the sum of its proper divisors (1).

18257 is an equidigital number, since it uses as much as digits as its factorization.

18257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 560, while the sum is 23.

The square root of 18257 is about 135.1184665396. The cubic root of 18257 is about 26.3315528715.

The spelling of 18257 in words is "eighteen thousand, two hundred fifty-seven".