10035 has 12 divisors (see below), whose sum is σ = 17472. Its totient is φ = 5328.

The previous prime is 10009. The next prime is 10037. The reversal of 10035 is 53001.

10035 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10035 - 2⁷ = 9907 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 9999 and 10026.

It is not an unprimeable number, because it can be changed into a prime (10037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67 + ... + 156.

It is an arithmetic number, because the mean of its divisors is an integer number (1456).

2¹⁰⁰³⁵ is an apocalyptic number.

10035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10035 is a deficient number, since it is larger than the sum of its proper divisors (7437).

10035 is a wasteful number, since it uses less digits than its factorization.

10035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 10035 is about 100.1748471424. The cubic root of 10035 is about 21.5694527043.

Adding to 10035 its reverse (53001), we get a palindrome (63036).

The spelling of 10035 in words is "ten thousand, thirty-five".