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12457 is a prime number
BaseRepresentation
bin11000010101001
3122002101
43002221
5344312
6133401
751214
oct30251
918071
1012457
1193a5
127261
135893
14477b
153a57
hex30a9

12457 has 2 divisors, whose sum is σ = 12458. Its totient is φ = 12456.

The previous prime is 12451. The next prime is 12473. The reversal of 12457 is 75421.

Adding to 12457 its reverse (75421), we get a palindrome (87878).

It can be divided in two parts, 124 and 57, that added together give a palindrome (181).

12457 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., 11881 + 576 = 109^2 + 24^2 .

It is a cyclic number.

It is not a de Polignac number, because 12457 - 27 = 12329 is a prime.

It is a Chen prime.

12457 is a lucky number.

It is a plaindrome in base 10 and base 14.

It is not a weakly prime, because it can be changed into another prime (12451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6228 + 6229.

It is an arithmetic number, because the mean of its divisors is an integer number (6229).

212457 is an apocalyptic number.

It is an amenable number.

12457 is a deficient number, since it is larger than the sum of its proper divisors (1).

12457 is an equidigital number, since it uses as much as digits as its factorization.

12457 is an evil number, because the sum of its binary digits is even.

The product of its digits is 280, while the sum is 19.

The square root of 12457 is about 111.6109313643. The cubic root of 12457 is about 23.1813018188.

The spelling of 12457 in words is "twelve thousand, four hundred fifty-seven".