3361 has 2 divisors, whose sum is σ = 3362. Its totient is φ = 3360.

The previous prime is 3359. The next prime is 3371. The reversal of 3361 is 1633.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3136 + 225 = 56^2 + 15^2 .

It is a cyclic number.

It is not a de Polignac number, because 3361 - 2¹ = 3359 is a prime.

It is a super-2 number, since 2×3361² = 22592642, which contains 22 as substring.

Together with 3359, it forms a pair of twin primes.

It is a nialpdrome in base 8, base 15 and base 16.

It is not a weakly prime, because it can be changed into another prime (3301) 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 as a sum of consecutive naturals, namely, 1680 + 1681.

It is an arithmetic number, because the mean of its divisors is an integer number (1681).

It is an amenable number.

3361 is a deficient number, since it is larger than the sum of its proper divisors (1).

3361 is an equidigital number, since it uses as much as digits as its factorization.

3361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54, while the sum is 13.

The square root of 3361 is about 57.9741321625. The cubic root of 3361 is about 14.9792305144.

Adding to 3361 its reverse (1633), we get a palindrome (4994).

Subtracting from 3361 its reverse (1633), we obtain a cube (1728 = 12³).

The spelling of 3361 in words is "three thousand, three hundred sixty-one".