13642 has 8 divisors (see below), whose sum is σ = 21600. Its totient is φ = 6444.

The previous prime is 13633. The next prime is 13649. The reversal of 13642 is 24631.

13642 = T₂₈ + T₂₉ + ... + T₄₆.

13642 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 super-2 number, since 2×13642² = 372208328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13649) 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, 142 + ... + 217.

It is an arithmetic number, because the mean of its divisors is an integer number (2700).

2¹³⁶⁴² is an apocalyptic number.

13642 is a deficient number, since it is larger than the sum of its proper divisors (7958).

13642 is a wasteful number, since it uses less digits than its factorization.

13642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380.

The product of its digits is 144, while the sum is 16.

The square root of 13642 is about 116.7989725982. The cubic root of 13642 is about 23.8942103002.

The spelling of 13642 in words is "thirteen thousand, six hundred forty-two".