10735 has 8 divisors (see below), whose sum is σ = 13680. Its totient is φ = 8064.

The previous prime is 10733. The next prime is 10739. The reversal of 10735 is 53701.

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

It is a cyclic number.

It is not a de Polignac number, because 10735 - 2¹ = 10733 is a prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10733) 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, 39 + ... + 151.

It is an arithmetic number, because the mean of its divisors is an integer number (1710).

2¹⁰⁷³⁵ is an apocalyptic number.

10735 is a deficient number, since it is larger than the sum of its proper divisors (2945).

10735 is a wasteful number, since it uses less digits than its factorization.

10735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 10735 is about 103.6098450921. The cubic root of 10735 is about 22.0597549062.

The spelling of 10735 in words is "ten thousand, seven hundred thirty-five".