10985 has 8 divisors (see below), whose sum is σ = 14280. Its totient is φ = 8112.

The previous prime is 10979. The next prime is 10987. The reversal of 10985 is 58901.

10985 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 6889 = 64^2 + 83^2 .

It is not a de Polignac number, because 10985 - 2^{8} = 10729 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 13.

It is a self number, because there is not a number *n* which added to its sum of digits gives 10985.

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 10985.

It is not an unprimeable number, because it can be changed into a prime (10987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 839 + ... + 851.

It is an arithmetic number, because the mean of its divisors is an integer number (1785).

2^{10985} is an apocalyptic number.

It is an amenable number.

10985 is a deficient number, since it is larger than the sum of its proper divisors (3295).

10985 is an frugal number, since it uses more digits than its factorization.

10985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 10985 is about 104.8093507279. The cubic root of 10985 is about 22.2296873068.

The spelling of 10985 in words is "ten thousand, nine hundred eighty-five".

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