42063 has 8 divisors (see below), whose sum is σ = 64128. Its totient is φ = 24024.

The previous prime is 42061. The next prime is 42071. The reversal of 42063 is 36024.

42063 is digitally balanced in base 2 and base 4, because in such bases 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 not a de Polignac number, because 42063 - 2¹ = 42061 is a prime.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

42063 is a modest number, since divided by 63 gives 42 as remainder.

42063 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42063.

It is not an unprimeable number, because it can be changed into a prime (42061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 981 + ... + 1022.

It is an arithmetic number, because the mean of its divisors is an integer number (8016).

2⁴²⁰⁶³ is an apocalyptic number.

42063 is a deficient number, since it is larger than the sum of its proper divisors (22065).

42063 is a wasteful number, since it uses less digits than its factorization.

42063 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 42063 is about 205.0926619848. The cubic root of 42063 is about 34.7776378993. Note that the first 3 decimals are identical.

Adding to 42063 its reverse (36024), we get a palindrome (78087).

The spelling of 42063 in words is "forty-two thousand, sixty-three".