333 has 6 divisors (see below), whose sum is σ = 494. Its totient is φ = 216.

The previous prime is 331. The next prime is 337.

Added to its reverse (333) it gives a triangular number (666 = T_{36}).

333 is nontrivially palindromic in base 8 and base 10.

333 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 324 + 9 = 18^2 + 3^2 .

It is not a de Polignac number, because 333 - 2^{1} = 331 is a prime.

It is a super-2 number, since 2×333^{2} = 221778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 37 = 333 / (3 + 3 + 3).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as **3**^{2} + **3**^{4} + **3**^{5} .

It is a Duffinian number.

333 is an undulating number in base 6 and base 8.

333 is a modest number, since divided by 33 gives 3 as remainder.

333 is a nontrivial repdigit in base 10.

It is a plaindrome in base 10, base 12, base 14 and base 16.

It is a nialpdrome in base 7, base 9 and base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10 + ... + 27.

It is an amenable number.

333 is a deficient number, since it is larger than the sum of its proper divisors (161).

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

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

The sum of its prime factors is 43 (or 40 counting only the distinct ones).

The product of its digits is 27, while the sum is 9.

The square root of 333 is about 18.2482875909. The cubic root of 333 is about 6.9313007684.

It can be divided in two parts, 33 and 3, that multiplied together give a palindrome (99).

The spelling of 333 in words is "three hundred thirty-three", and thus it is an aban number and an oban number.

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