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10457 is a prime number
BaseRepresentation
bin10100011011001
3112100022
42203121
5313312
6120225
742326
oct24331
915308
1010457
117947
126075
1349b5
143b4d
153172
hex28d9

10457 has 2 divisors, whose sum is σ = 10458. Its totient is φ = 10456.

The previous prime is 10453. The next prime is 10459. The reversal of 10457 is 75401.

It is a happy number.

10457 is digitally balanced in base 2 and base 3, because in such bases 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., 10201 + 256 = 101^2 + 16^2 .

It is an emirp because it is prime and its reverse (75401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10457 - 22 = 10453 is a prime.

Together with 10459, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (10453) 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, 5228 + 5229.

It is an arithmetic number, because the mean of its divisors is an integer number (5229).

210457 is an apocalyptic number.

It is an amenable number.

10457 is a deficient number, since it is larger than the sum of its proper divisors (1).

10457 is an equidigital number, since it uses as much as digits as its factorization.

10457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 10457 is about 102.2594738887. The cubic root of 10457 is about 21.8676628454.

Subtracting from 10457 its sum of digits (17), we obtain a triangular number (10440 = T144).

Adding to 10457 its reverse (75401), we get a palindrome (85858).

It can be divided in two parts, 104 and 57, that added together give a palindrome (161).

The spelling of 10457 in words is "ten thousand, four hundred fifty-seven".