10635 has 8 divisors (see below), whose sum is σ = 17040. Its totient is φ = 5664.

The previous prime is 10631. The next prime is 10639. The reversal of 10635 is 53601.

10635 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10631) and next prime (10639).

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

It is not a de Polignac number, because 10635 - 2² = 10631 is a prime.

It is a super-2 number, since 2×10635² = 226206450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 709 = 10635 / (1 + 0 + 6 + 3 + 5).

10635 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10631) 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, 340 + ... + 369.

It is an arithmetic number, because the mean of its divisors is an integer number (2130).

2¹⁰⁶³⁵ is an apocalyptic number.

10635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10635 is a deficient number, since it is larger than the sum of its proper divisors (6405).

10635 is an equidigital number, since it uses as much as digits as its factorization.

10635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 10635 is about 103.1261363574. The cubic root of 10635 is about 21.9910431859.

It can be divided in two parts, 106 and 35, that added together give a palindrome (141).

The spelling of 10635 in words is "ten thousand, six hundred thirty-five".