42642 has 24 divisors (see below), whose sum is σ = 97344. Its totient is φ = 13464.

The previous prime is 42641. The next prime is 42643. The reversal of 42642 is 24624.

It is an interprime number because it is at equal distance from previous prime (42641) and next prime (42643).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 14.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42642.

It is not an unprimeable number, because it can be changed into a prime (42641) 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 11 ways as a sum of consecutive naturals, for example, 363 + ... + 465.

It is an arithmetic number, because the mean of its divisors is an integer number (4056).

2⁴²⁶⁴² is an apocalyptic number.

It is a pronic number, being equal to 206×207.

It is a practical number, because each smaller number is the sum of distinct divisors of 42642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48672).

42642 is an abundant number, since it is smaller than the sum of its proper divisors (54702).

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

42642 is a wasteful number, since it uses less digits than its factorization.

42642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 131 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 42642 is about 206.4993946722. The cubic root of 42642 is about 34.9364834420.

Subtracting from 42642 its sum of digits (18), we obtain a palindrome (42624).

The spelling of 42642 in words is "forty-two thousand, six hundred forty-two".