13475 has 18 divisors (see below), whose sum is σ = 21204. Its totient is φ = 8400.

The previous prime is 13469. The next prime is 13477. The reversal of 13475 is 57431.

13475 = T₆₄ + T₆₅ + ... + T₆₉.

It is a happy number.

13475 is nontrivially palindromic in base 3.

13475 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 13475 - 2⁶ = 13411 is a prime.

It is a Duffinian number.

Its product of digits (420) is a multiple of the sum of its prime factors (35).

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (13477) 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 17 ways as a sum of consecutive naturals, for example, 1220 + ... + 1230.

It is an arithmetic number, because the mean of its divisors is an integer number (1178).

2¹³⁴⁷⁵ is an apocalyptic number.

13475 is a deficient number, since it is larger than the sum of its proper divisors (7729).

13475 is a wasteful number, since it uses less digits than its factorization.

13475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 23 counting only the distinct ones).

The product of its digits is 420, while the sum is 20.

The square root of 13475 is about 116.0818676624. The cubic root of 13475 is about 23.7963085394.

Subtracting 13475 from its reverse (57431), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 13475 in words is "thirteen thousand, four hundred seventy-five".