7084 has 24 divisors (see below), whose sum is σ = 16128. Its totient is φ = 2640.

The previous prime is 7079. The next prime is 7103. The reversal of 7084 is 4807.

7084 = T₇ + T₈ + ... + T₃₄.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297 + ... + 319.

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

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8064).

7084 is an abundant number, since it is smaller than the sum of its proper divisors (9044).

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

7084 is a wasteful number, since it uses less digits than its factorization.

7084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 7084 is about 84.1665016500. The cubic root of 7084 is about 19.2055250303.

The spelling of 7084 in words is "seven thousand, eighty-four".