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3333 = 311101

3333 has 8 divisors (see below), whose sum is σ = 4896. Its totient is φ = 2000.

The previous prime is 3331. The next prime is 3343.

3333 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3333 - 21 = 3331 is a prime.

It is a super-2 number, since 2×33332 = 22217778, which contains 22 as substring.

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

3333 is a modest number, since divided by 333 gives 3 as remainder.

3333 is a nontrivial repdigit in base 10.

It is a plaindrome in base 10.

It is a nialpdrome in base 10 and base 15.

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 (3331) 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 7 ways as a sum of consecutive naturals, for example, 18 + ... + 83.

It is an arithmetic number, because the mean of its divisors is an integer number (612).

23333 is an apocalyptic number.

3333 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3333 is a deficient number, since it is larger than the sum of its proper divisors (1563).

3333 is a wasteful number, since it uses less digits than its factorization.

3333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115.

The product of its digits is 81, while the sum is 12.

The square root of 3333 is about 57.7321400954. The cubic root of 3333 is about 14.9375178714.

Subtracting from 3333 its sum of digits (12), we obtain a triangular number (3321 = T81).

It can be divided in two parts, 333 and 3, that multiplied together give a palindrome (999).

The spelling of 3333 in words is "three thousand, three hundred thirty-three".

Divisors: 1 3 11 33 101 303 1111 3333