13575 has 12 divisors (see below), whose sum is σ = 22568. Its totient is φ = 7200.

The previous prime is 13567. The next prime is 13577. The reversal of 13575 is 57531.

It is a happy number.

13575 is digitally balanced in base 2, base 3 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13575 - 2³ = 13567 is a prime.

It is a Duffinian number.

13575 is strictly pandigital in base 6.

13575 is a lucky number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13577) 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 11 ways as a sum of consecutive naturals, for example, 16 + ... + 165.

2¹³⁵⁷⁵ is an apocalyptic number.

13575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13575 is a deficient number, since it is larger than the sum of its proper divisors (8993).

13575 is a wasteful number, since it uses less digits than its factorization.

13575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 189 counting only the distinct ones).

The product of its digits is 525, while the sum is 21.

The square root of 13575 is about 116.5118019773. The cubic root of 13575 is about 23.8550288479.

Subtracting 13575 from its reverse (57531), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 135 and 75, that added together give a triangular number (210 = T₂₀).

The spelling of 13575 in words is "thirteen thousand, five hundred seventy-five".