3084 has 12 divisors (see below), whose sum is σ = 7224. Its totient is φ = 1024.

The previous prime is 3083. The next prime is 3089. The reversal of 3084 is 4803.

3084 = 16² + 17² + ... + 23².

3084 is nontrivially palindromic in base 16.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×3084² = 19022112, which contains 22 as substring.

3084 is an undulating number in base 16.

It is a nialpdrome in base 15.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3083) by changing a digit.

In principle, a polygon with 3084 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117 + ... + 140.

It is an arithmetic number, because the mean of its divisors is an integer number (602).

2³⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

3084 is an abundant number, since it is smaller than the sum of its proper divisors (4140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612).

3084 is a wasteful number, since it uses less digits than its factorization.

3084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3084 is about 55.5337735077. The cubic root of 3084 is about 14.5558684892. Note that the first 3 decimals are identical.

Adding to 3084 its reverse (4803), we get a palindrome (7887).

The spelling of 3084 in words is "three thousand, eighty-four".