40333 has 4 divisors (see below), whose sum is σ = 41148. Its totient is φ = 39520.

The previous prime is 40289. The next prime is 40343. The reversal of 40333 is 33304.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 10404 + 29929 = 102^2 + 173^2 .

It is a cyclic number.

It is not a de Polignac number, because 40333 - 2⁹ = 39821 is a prime.

It is an Ulam number.

It is a Duffinian number.

40333 is a modest number, since divided by 333 gives 40 as remainder.

40333 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40343) 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, 328 + ... + 433.

It is an arithmetic number, because the mean of its divisors is an integer number (10287).

2⁴⁰³³³ is an apocalyptic number.

It is an amenable number.

40333 is a deficient number, since it is larger than the sum of its proper divisors (815).

40333 is an equidigital number, since it uses as much as digits as its factorization.

40333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814.

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 40333 is about 200.8307745342. The cubic root of 40333 is about 34.2941604522.

Adding to 40333 its reverse (33304), we get a palindrome (73637).

It can be divided in two parts, 40 and 333, that added together give a palindrome (373).

The spelling of 40333 in words is "forty thousand, three hundred thirty-three".