13875 has 16 divisors (see below), whose sum is σ = 23712. Its totient is φ = 7200.

The previous prime is 13873. The next prime is 13877. The reversal of 13875 is 57831.

It is an interprime number because it is at equal distance from previous prime (13873) and next prime (13877).

It is not a de Polignac number, because 13875 - 2¹ = 13873 is a prime.

It is an Ulam number.

It is a nialpdrome in base 5 and base 7.

It is not an unprimeable number, because it can be changed into a prime (13873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357 + ... + 393.

It is an arithmetic number, because the mean of its divisors is an integer number (1482).

2¹³⁸⁷⁵ is an apocalyptic number.

13875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13875 is a deficient number, since it is larger than the sum of its proper divisors (9837).

13875 is an equidigital number, since it uses as much as digits as its factorization.

13875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 45 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 13875 is about 117.7921898939. The cubic root of 13875 is about 24.0294776685.

Subtracting 13875 from its reverse (57831), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 13 and 875, that added together give a palindrome (888).

The spelling of 13875 in words is "thirteen thousand, eight hundred seventy-five".