10535 has 12 divisors (see below), whose sum is σ = 15048. Its totient is φ = 7056.

The previous prime is 10531. The next prime is 10559. The reversal of 10535 is 53501.

10535 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 not a de Polignac number, because 10535 - 2² = 10531 is a prime.

It is a super-2 number, since 2×10535² = 221972450, which contains 22 as substring.

It is a Duffinian number.

10535 is strictly pandigital in base 6.

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10531) 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 11 ways as a sum of consecutive naturals, for example, 224 + ... + 266.

It is an arithmetic number, because the mean of its divisors is an integer number (1254).

2¹⁰⁵³⁵ is an apocalyptic number.

10535 is a deficient number, since it is larger than the sum of its proper divisors (4513).

10535 is an equidigital number, since it uses as much as digits as its factorization.

10535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 10535 is about 102.6401480903. The cubic root of 10535 is about 21.9218993772.

It can be divided in two parts, 10 and 535, that added together give a palindrome (545).

The spelling of 10535 in words is "ten thousand, five hundred thirty-five".