13675 has 6 divisors (see below), whose sum is σ = 16988. Its totient is φ = 10920.

The previous prime is 13669. The next prime is 13679. The reversal of 13675 is 57631.

13675 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 13675 - 2⁹ = 13163 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13679) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 249 + ... + 298.

2¹³⁶⁷⁵ is an apocalyptic number.

13675 is a deficient number, since it is larger than the sum of its proper divisors (3313).

13675 is an equidigital number, since it uses as much as digits as its factorization.

13675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 552 counting only the distinct ones).

The product of its digits is 630, while the sum is 22.

The square root of 13675 is about 116.9401556353. The cubic root of 13675 is about 23.9134614851.

Subtracting 13675 from its reverse (57631), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 13675 in words is "thirteen thousand, six hundred seventy-five".