3365 has 4 divisors (see below), whose sum is σ = 4044. Its totient is φ = 2688.

The previous prime is 3361. The next prime is 3371. The reversal of 3365 is 5633.

It is a happy number.

3365 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 58²+1.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 5633 = 43 ⋅131.

It can be written as a sum of positive squares in 2 ways, for example, as 1156 + 2209 = 34^2 + 47^2 .

It is a cyclic number.

It is not a de Polignac number, because 3365 - 2² = 3361 is a prime.

It is a super-2 number, since 2×3365² = 22646450, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 11 and base 13.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3361) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 332 + ... + 341.

It is an arithmetic number, because the mean of its divisors is an integer number (1011).

2³³⁶⁵ is an apocalyptic number.

It is an amenable number.

3365 is a deficient number, since it is larger than the sum of its proper divisors (679).

3365 is an equidigital number, since it uses as much as digits as its factorization.

3365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678.

The product of its digits is 270, while the sum is 17.

The square root of 3365 is about 58.0086200491. The cubic root of 3365 is about 14.9851705291.

Adding to 3365 its reverse (5633), we get a palindrome (8998).

It can be divided in two parts, 33 and 65, that multiplied together give a triangular number (2145 = T₆₅).

The spelling of 3365 in words is "three thousand, three hundred sixty-five".