42733 has 4 divisors (see below), whose sum is σ = 43168. Its totient is φ = 42300.

The previous prime is 42727. The next prime is 42737. The reversal of 42733 is 33724.

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, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 42733 - 2⁵ = 42701 is a prime.

It is a super-2 number, since 2×42733² = 3652218578, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 42733.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42737) 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, 10 + ... + 292.

It is an arithmetic number, because the mean of its divisors is an integer number (10792).

2⁴²⁷³³ is an apocalyptic number.

It is an amenable number.

42733 is a deficient number, since it is larger than the sum of its proper divisors (435).

42733 is a wasteful number, since it uses less digits than its factorization.

42733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434.

The product of its digits is 504, while the sum is 19.

The square root of 42733 is about 206.7196168727. The cubic root of 42733 is about 34.9613178082.

Subtracting from 42733 its reverse (33724), we obtain a palindrome (9009).

The spelling of 42733 in words is "forty-two thousand, seven hundred thirty-three".