6084 has 27 divisors (see below), whose sum is σ = 16653. Its totient is φ = 1872.

The previous prime is 6079. The next prime is 6089. The reversal of 6084 is 4806.

6084 = T₇₇ + T₇₈.

6084 = 1³ + 2³ + ... + 12³.

The square root of 6084 is 78.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (6079) and next prime (6089).

It can be written as a sum of positive squares in only one way, i.e., 900 + 5184 = 30^2 + 72^2 .

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6 and base 9.

It is not an unprimeable number, because it can be changed into a prime (6089) by changing a digit.

6084 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 8 ways as a sum of consecutive naturals, for example, 462 + ... + 474.

2⁶⁰⁸⁴ is an apocalyptic number.

6084 is the 78-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6084

6084 is an abundant number, since it is smaller than the sum of its proper divisors (10569).

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

6084 is a wasteful number, since it uses less digits than its factorization.

6084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The cubic root of 6084 is about 18.2556122103.

It can be divided in two parts, 60 and 84, that added together give a square (144 = 12²).

The spelling of 6084 in words is "six thousand, eighty-four".