13874 has 8 divisors (see below), whose sum is σ = 23808. Its totient is φ = 5940.

The previous prime is 13873. The next prime is 13877. The reversal of 13874 is 47831.

13874 = 67² + 68² + 69².

It is a happy number.

13874 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Curzon number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (13873) 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 3 ways as a sum of consecutive naturals, for example, 482 + ... + 509.

It is an arithmetic number, because the mean of its divisors is an integer number (2976).

2¹³⁸⁷⁴ is an apocalyptic number.

13874 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13874 is a deficient number, since it is larger than the sum of its proper divisors (9934).

13874 is an equidigital number, since it uses as much as digits as its factorization.

13874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000.

The product of its digits is 672, while the sum is 23.

The square root of 13874 is about 117.7879450538. The cubic root of 13874 is about 24.0289003699.

It can be divided in two parts, 138 and 74, that added together give a palindrome (212).

The spelling of 13874 in words is "thirteen thousand, eight hundred seventy-four".