3345 has 8 divisors (see below), whose sum is σ = 5376. Its totient is φ = 1776.

The previous prime is 3343. The next prime is 3347. The reversal of 3345 is 5433.

Added to its reverse (5433) it gives a triangular number (8778 = T_{132}).

It is an interprime number because it is at equal distance from previous prime (3343) and next prime (3347).

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

It is not a de Polignac number, because 3345 - 2^{1} = 3343 is a prime.

It is a super-2 number, since 2×3345^{2} = 22378050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 223 = 3345 / (3 + 3 + 4 + 5).

It is a d-powerful number, because it can be written as **3**^{2} + **4**^{5} + **3**^{7} + **5**^{3} .

It is a Curzon number.

It is a plaindrome in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (3343) 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, 97 + ... + 126.

It is an arithmetic number, because the mean of its divisors is an integer number (672).

It is an amenable number.

3345 is a deficient number, since it is larger than the sum of its proper divisors (2031).

3345 is a wasteful number, since it uses less digits than its factorization.

3345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231.

The product of its digits is 180, while the sum is 15.

The square root of 3345 is about 57.8359749637. The cubic root of 3345 is about 14.9554232141.

Adding to 3345 its reverse (5433), we get a palindrome (8778).

It can be divided in two parts, 33 and 45, that multiplied together give a triangular number (1485 = T_{54}).

The spelling of 3345 in words is "three thousand, three hundred forty-five".

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