10084 has 6 divisors (see below), whose sum is σ = 17654. Its totient is φ = 5040.

The previous prime is 10079. The next prime is 10091. The reversal of 10084 is 48001.

10084 = T₆₉ + T₇₀ + ... + T₇₂.

10084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5184 + 4900 = 72^2 + 70^2 .

It is a plaindrome in base 13.

It is an unprimeable 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 as a sum of consecutive naturals, namely, 1257 + ... + 1264.

2¹⁰⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

10084 is a deficient number, since it is larger than the sum of its proper divisors (7570).

10084 is a wasteful number, since it uses less digits than its factorization.

10084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 10084 is about 100.4191216851. The cubic root of 10084 is about 21.6045029478.

Adding to 10084 its reverse (48001), we get a palindrome (58085).

The spelling of 10084 in words is "ten thousand, eighty-four".