13175 has 12 divisors (see below), whose sum is σ = 17856. Its totient is φ = 9600.

The previous prime is 13171. The next prime is 13177. The reversal of 13175 is 57131.

It is not a de Polignac number, because 13175 - 2² = 13171 is a prime.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 410 + ... + 440.

It is an arithmetic number, because the mean of its divisors is an integer number (1488).

2¹³¹⁷⁵ is an apocalyptic number.

13175 is a deficient number, since it is larger than the sum of its proper divisors (4681).

13175 is a wasteful number, since it uses less digits than its factorization.

13175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 53 counting only the distinct ones).

The product of its digits is 105, while the sum is 17.

The square root of 13175 is about 114.7824028325. The cubic root of 13175 is about 23.6183855581.

Subtracting 13175 from its reverse (57131), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 13175 in words is "thirteen thousand, one hundred seventy-five".