10935 has 16 divisors (see below), whose sum is σ = 19680. Its totient is φ = 5832.

The previous prime is 10909. The next prime is 10937. The reversal of 10935 is 53901.

Multipling 10935 by its product of nonzero digits (135), we get a square (1476225 = 1215^{2}).

10935 divided by its product of nonzero digits (135) gives a 4-th power (81 = 3^{4}).

It can be divided in two parts, 109 and 35, that added together give a square (144 = 12^{2}).

It is not a de Polignac number, because 10935 - 2^{5} = 10903 is a prime.

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2185 + ... + 2189.

It is an arithmetic number, because the mean of its divisors is an integer number (1230).

10935 is a Friedman number, since it can be written as 9^3*(15+0), using all its digits and the basic arithmetic operations.

10935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10935 is a deficient number, since it is larger than the sum of its proper divisors (8745).

10935 is an frugal number, since it uses more digits than its factorization.

10935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26 (or 8 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 10935 is about 104.5705503476. The cubic root of 10935 is about 22.1959086690.

The spelling of 10935 in words is "ten thousand, nine hundred thirty-five".

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