27642 has 16 divisors (see below), whose sum is σ = 58752. Its totient is φ = 8640.

The previous prime is 27631. The next prime is 27647. The reversal of 27642 is 24672.

It is a happy number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (27647) by changing a digit.

27642 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34 + ... + 237.

It is an arithmetic number, because the mean of its divisors is an integer number (3672).

2²⁷⁶⁴² is an apocalyptic number.

27642 is an abundant number, since it is smaller than the sum of its proper divisors (31110).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29376).

27642 is a wasteful number, since it uses less digits than its factorization.

27642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293.

The product of its digits is 672, while the sum is 21.

The square root of 27642 is about 166.2588343517. The cubic root of 27642 is about 30.2359176763.

The spelling of 27642 in words is "twenty-seven thousand, six hundred forty-two".