13275 has 18 divisors (see below), whose sum is σ = 24180. Its totient is φ = 6960.

The previous prime is 13267. The next prime is 13291. The reversal of 13275 is 57231.

It is not a de Polignac number, because 13275 - 2³ = 13267 is a prime.

It is a nialpdrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 196 + ... + 254.

2¹³²⁷⁵ is an apocalyptic number.

13275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13275 is a deficient number, since it is larger than the sum of its proper divisors (10905).

13275 is a wasteful number, since it uses less digits than its factorization.

13275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 67 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 13275 is about 115.2171862180. The cubic root of 13275 is about 23.6779905694.

Subtracting 13275 from its reverse (57231), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 13275 in words is "thirteen thousand, two hundred seventy-five".