13075 has 6 divisors (see below), whose sum is σ = 16244. Its totient is φ = 10440.

The previous prime is 13063. The next prime is 13093. The reversal of 13075 is 57031.

13075 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13075 - 2⁵ = 13043 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 237 + ... + 286.

2¹³⁰⁷⁵ is an apocalyptic number.

13075 is a deficient number, since it is larger than the sum of its proper divisors (3169).

13075 is an equidigital number, since it uses as much as digits as its factorization.

13075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 13075 is about 114.3459662603. The cubic root of 13075 is about 23.5584781720.

Subtracting 13075 from its reverse (57031), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 13075 in words is "thirteen thousand, seventy-five".