42133 has 8 divisors (see below), whose sum is σ = 51968. Its totient is φ = 33264.

The previous prime is 42131. The next prime is 42139. The reversal of 42133 is 33124.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42133 - 2¹ = 42131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42131) 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 7 ways as a sum of consecutive naturals, for example, 141 + ... + 322.

It is an arithmetic number, because the mean of its divisors is an integer number (6496).

2⁴²¹³³ is an apocalyptic number.

It is an amenable number.

42133 is a deficient number, since it is larger than the sum of its proper divisors (9835).

42133 is a wasteful number, since it uses less digits than its factorization.

42133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483.

The product of its digits is 72, while the sum is 13.

The square root of 42133 is about 205.2632456140. The cubic root of 42133 is about 34.7969191794.

Adding to 42133 its reverse (33124), we get a palindrome (75257).

Subtracting from 42133 its reverse (33124), we obtain a palindrome (9009).

It can be divided in two parts, 421 and 33, that added together give a palindrome (454).

The spelling of 42133 in words is "forty-two thousand, one hundred thirty-three".