13842 has 12 divisors (see below), whose sum is σ = 30030. Its totient is φ = 4608.

The previous prime is 13841. The next prime is 13859. The reversal of 13842 is 24831.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 12321 + 1521 = 111^2 + 39^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 769 = 13842 / (1 + 3 + 8 + 4 + 2).

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (13841) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 367 + ... + 402.

13842 is a Friedman number, since it can be written as 24^3+18, using all its digits and the basic arithmetic operations.

2¹³⁸⁴² is an apocalyptic number.

13842 is an abundant number, since it is smaller than the sum of its proper divisors (16188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13842 is a wasteful number, since it uses less digits than its factorization.

13842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 774 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 13842 is about 117.6520293068. The cubic root of 13842 is about 24.0104121488.

Subtracting from 13842 its sum of digits (18), we obtain a cube (13824 = 24³).

The spelling of 13842 in words is "thirteen thousand, eight hundred forty-two".