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14537 is a prime number

14537 has 2 divisors, whose sum is σ = 14538. Its totient is φ = 14536.

The previous prime is 14533. The next prime is 14543. The reversal of 14537 is 73541.

It is a happy number.

14537 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., 10816 + 3721 = 104^2 + 61^2 .

It is a cyclic number.

It is not a de Polignac number, because 14537 - 22 = 14533 is a prime.

It is a super-2 number, since 2×145372 = 422648738, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14537.

It is not a weakly prime, because it can be changed into another prime (14533) 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, 7268 + 7269.

It is an arithmetic number, because the mean of its divisors is an integer number (7269).

214537 is an apocalyptic number.

It is an amenable number.

14537 is a deficient number, since it is larger than the sum of its proper divisors (1).

14537 is an equidigital number, since it uses as much as digits as its factorization.

14537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 420, while the sum is 20.

The square root of 14537 is about 120.5694820425. The cubic root of 14537 is about 24.4057184483.

The spelling of 14537 in words is "fourteen thousand, five hundred thirty-seven".