3313 has 2 divisors, whose sum is σ = 3314. Its totient is φ = 3312.

The previous prime is 3307. The next prime is 3319. The reversal of 3313 is 3133.

It is a happy number.

It is the 24-th star number.

It is a balanced prime because it is at equal distance from previous prime (3307) and next prime (3319).

It can be written as a sum of positive squares in only one way, i.e., 3249 + 64 = 57^2 + 8^2 .

3313 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 3313 - 2^{9} = 2801 is a prime.

3313 is a lucky number.

It is a plaindrome in base 13.

It is a self number, because there is not a number *n* which added to its sum of digits gives 3313.

It is not a weakly prime, because it can be changed into another prime (3319) 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 as a sum of consecutive naturals, namely, 1656 + 1657.

It is an arithmetic number, because the mean of its divisors is an integer number (1657).

It is an amenable number.

3313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3313 is an equidigital number, since it uses as much as digits as its factorization.

3313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27, while the sum is 10.

The square root of 3313 is about 57.5586657246. The cubic root of 3313 is about 14.9075798858.

Adding to 3313 its reverse (3133), we get a palindrome (6446).

It can be divided in two parts, 3 and 313, that multiplied together give a palindrome (939).

The spelling of 3313 in words is "three thousand, three hundred thirteen".

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