8735 has 4 divisors (see below), whose sum is σ = 10488. Its totient is φ = 6984.

The previous prime is 8731. The next prime is 8737. The reversal of 8735 is 5378.

8735 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 5378 = 2 ⋅2689.

It is a cyclic number.

It is not a de Polignac number, because 8735 - 2² = 8731 is a prime.

It is a Duffinian number.

8735 is strictly pandigital in base 6.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 8735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8731) 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 3 ways as a sum of consecutive naturals, for example, 869 + ... + 878.

It is an arithmetic number, because the mean of its divisors is an integer number (2622).

8735 is a deficient number, since it is larger than the sum of its proper divisors (1753).

8735 is a wasteful number, since it uses less digits than its factorization.

8735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752.

The product of its digits is 840, while the sum is 23.

The square root of 8735 is about 93.4612219051. The cubic root of 8735 is about 20.5946446631.

It can be divided in two parts, 873 and 5, that added together give a palindrome (878).

The spelling of 8735 in words is "eight thousand, seven hundred thirty-five".