3301 has 2 divisors, whose sum is σ = 3302. Its totient is φ = 3300.

The previous prime is 3299. The next prime is 3307. The reversal of 3301 is 1033.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2401 + 900 = 49^2 + 30^2 .

It is an emirp because it is prime and its reverse (1033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3301 - 2^{1} = 3299 is a prime.

Together with 3299, it forms a pair of twin primes.

3301 is a lucky number.

It is a plaindrome in base 9, base 13 and base 14.

It is a nialpdrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3307) 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, 1650 + 1651.

It is an arithmetic number, because the mean of its divisors is an integer number (1651).

It is an amenable number.

3301 is a deficient number, since it is larger than the sum of its proper divisors (1).

3301 is an equidigital number, since it uses as much as digits as its factorization.

3301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 3301 is about 57.4543296889. The cubic root of 3301 is about 14.8895592217.

Adding to 3301 its reverse (1033), we get a palindrome (4334).

It can be divided in two parts, 3 and 301, that multiplied together give a triangular number (903 = T_{42}).

The spelling of 3301 in words is "three thousand, three hundred one", and thus it is an iban number.

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