10835 has 8 divisors (see below), whose sum is σ = 14256. Its totient is φ = 7840.

The previous prime is 10831. The next prime is 10837. The reversal of 10835 is 53801.

10835 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10835 - 2² = 10831 is a prime.

10835 is an undulating number in base 14.

It is not an unprimeable number, because it can be changed into a prime (10831) 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 in 7 ways as a sum of consecutive naturals, for example, 44 + ... + 153.

It is an arithmetic number, because the mean of its divisors is an integer number (1782).

2¹⁰⁸³⁵ is an apocalyptic number.

10835 is a deficient number, since it is larger than the sum of its proper divisors (3421).

10835 is a wasteful number, since it uses less digits than its factorization.

10835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213.

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

The square root of 10835 is about 104.0913060731. The cubic root of 10835 is about 22.1280412260.

The spelling of 10835 in words is "ten thousand, eight hundred thirty-five".