42633 has 8 divisors (see below), whose sum is σ = 63200. Its totient is φ = 28404.

The previous prime is 42611. The next prime is 42641. The reversal of 42633 is 33624.

It is not a de Polignac number, because 42633 - 2⁶ = 42569 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 9 and base 15.

It is not an unprimeable number, because it can be changed into a prime (42643) 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, 763 + ... + 816.

It is an arithmetic number, because the mean of its divisors is an integer number (7900).

2⁴²⁶³³ is an apocalyptic number.

It is an amenable number.

42633 is a deficient number, since it is larger than the sum of its proper divisors (20567).

42633 is a wasteful number, since it uses less digits than its factorization.

42633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1582 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 42633 is about 206.4776016908. The cubic root of 42633 is about 34.9340253765.

Subtracting from 42633 its reverse (33624), we obtain a palindrome (9009).

The spelling of 42633 in words is "forty-two thousand, six hundred thirty-three".