10853 has 2 divisors, whose sum is σ = 10854. Its totient is φ = 10852.

The previous prime is 10847. The next prime is 10859. The reversal of 10853 is 35801.

10853 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10847) and next prime (10859).

It can be written as a sum of positive squares in only one way, i.e., 9409 + 1444 = 97^2 + 38^2 .

It is an emirp because it is prime and its reverse (35801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10853 - 2^{4} = 10837 is a prime.

It is a plaindrome in base 9 and base 15.

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 10853.

It is not a weakly prime, because it can be changed into another prime (10859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5426 + 5427.

It is an arithmetic number, because the mean of its divisors is an integer number (5427).

It is an amenable number.

10853 is a deficient number, since it is larger than the sum of its proper divisors (1).

10853 is an equidigital number, since it uses as much as digits as its factorization.

10853 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 10853 is about 104.1777327455. The cubic root of 10853 is about 22.1402880920.

It can be divided in two parts, 108 and 53, that added together give a palindrome (161).

The spelling of 10853 in words is "ten thousand, eight hundred fifty-three".

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