42033 has 4 divisors (see below), whose sum is σ = 56048. Its totient is φ = 28020.

The previous prime is 42023. The next prime is 42043. The reversal of 42033 is 33024.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (42023) and next prime (42043).

It is not a de Polignac number, because 42033 - 2⁴ = 42017 is a prime.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

42033 is a lucky number.

It is a plaindrome in base 7.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (42013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7003 + ... + 7008.

It is an arithmetic number, because the mean of its divisors is an integer number (14012).

2⁴²⁰³³ is an apocalyptic number.

It is an amenable number.

42033 is a deficient number, since it is larger than the sum of its proper divisors (14015).

42033 is a wasteful number, since it uses less digits than its factorization.

42033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14014.

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 42033 is about 205.0195112666. The cubic root of 42033 is about 34.7693679449.

Adding to 42033 its reverse (33024), we get a palindrome (75057).

Subtracting from 42033 its reverse (33024), we obtain a palindrome (9009).

The spelling of 42033 in words is "forty-two thousand, thirty-three".