13035 has 16 divisors (see below), whose sum is σ = 23040. Its totient is φ = 6240.

The previous prime is 13033. The next prime is 13037. The reversal of 13035 is 53031.

Added to its reverse (53031) it gives a triangular number (66066 = T₃₆₃).

13035 = 13² + 14² + ... + 34².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13033) and next prime (13037).

It is not a de Polignac number, because 13035 - 2¹ = 13033 is a prime.

It is a super-2 number, since 2×13035² = 339822450, which contains 22 as substring.

It is a nialpdrome in base 11 and base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 13035.

It is not an unprimeable number, because it can be changed into a prime (13033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126 + ... + 204.

It is an arithmetic number, because the mean of its divisors is an integer number (1440).

13035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13035 is a deficient number, since it is larger than the sum of its proper divisors (10005).

13035 is a wasteful number, since it uses less digits than its factorization.

13035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98.

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 13035 is about 114.1709244948. The cubic root of 13035 is about 23.5344296896.

Adding to 13035 its reverse (53031), we get a palindrome (66066).

The spelling of 13035 in words is "thirteen thousand, thirty-five".