4084 has 6 divisors (see below), whose sum is σ = 7154. Its totient is φ = 2040.

The previous prime is 4079. The next prime is 4091. The reversal of 4084 is 4804.

It can be written as a sum of positive squares in only one way, i.e., 3600 + 484 = 60^2 + 22^2 .

It is a plaindrome in base 12.

It is a nialpdrome in base 4, base 8 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 507 + ... + 514.

2⁴⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

4084 is a deficient number, since it is larger than the sum of its proper divisors (3070).

4084 is a wasteful number, since it uses less digits than its factorization.

4084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4084 is about 63.9061812347. The cubic root of 4084 is about 15.9843597163.

Adding to 4084 its reverse (4804), we get a palindrome (8888).

The spelling of 4084 in words is "four thousand, eighty-four".