63042 has 32 divisors (see below), whose sum is σ = 153600. Its totient is φ = 16848.

The previous prime is 63031. The next prime is 63059. The reversal of 63042 is 24036.

63042 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 nialpdrome in base 16.

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 63042.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 759 + ... + 837.

It is an arithmetic number, because the mean of its divisors is an integer number (4800).

2⁶³⁰⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76800).

63042 is an abundant number, since it is smaller than the sum of its proper divisors (90558).

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

63042 is a wasteful number, since it uses less digits than its factorization.

63042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110.

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

The square root of 63042 is about 251.0816600232. The cubic root of 63042 is about 39.7994124641.

Adding to 63042 its reverse (24036), we get a palindrome (87078).

The spelling of 63042 in words is "sixty-three thousand, forty-two".