3385 has 4 divisors (see below), whose sum is σ = 4068. Its totient is φ = 2704.

The previous prime is 3373. The next prime is 3389. The reversal of 3385 is 5833.

3385 = T_{46} + T_{47} +
T_{48}.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 5833 = 19 ⋅307.

It can be written as a sum of positive squares in 2 ways, for example, as 2601 + 784 = 51^2 + 28^2 .

It is a cyclic number.

It is not a de Polignac number, because 3385 - 2^{7} = 3257 is a prime.

It is a super-2 number, since 2×3385^{2} = 22916450, which contains 22 as substring.

It is a d-powerful number, because it can be written as **3**^{2} + **8** + **3**^{5} + **5**^{5} .

It is a Duffinian number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (3389) 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 in 3 ways as a sum of consecutive naturals, for example, 334 + ... + 343.

It is an arithmetic number, because the mean of its divisors is an integer number (1017).

2^{3385} is an apocalyptic number.

3385 is the 48-th centered triangular number.

It is an amenable number.

3385 is a deficient number, since it is larger than the sum of its proper divisors (683).

3385 is an equidigital number, since it uses as much as digits as its factorization.

3385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682.

The product of its digits is 360, while the sum is 19.

The square root of 3385 is about 58.1807528312. The cubic root of 3385 is about 15.0148002069.

Subtracting from 3385 its product of digits (360), we obtain a square (3025 = 55^{2}).

It can be divided in two parts, 338 and 5, that added together give a palindrome (343).

The spelling of 3385 in words is "three thousand, three hundred eighty-five".

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