10082 has 6 divisors (see below), whose sum is σ = 15339. Its totient is φ = 4970.

The previous prime is 10079. The next prime is 10091. The reversal of 10082 is 28001.

10082 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., 5041 + 5041 = 71^2 + 71^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=71.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 10082.

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 in 2 ways as a sum of consecutive naturals, for example, 107 + ... + 177.

2^{10082} is an apocalyptic number.

10082 is a deficient number, since it is larger than the sum of its proper divisors (5257).

10082 is an frugal number, since it uses more digits than its factorization.

10082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 10082 is about 100.4091629285. The cubic root of 10082 is about 21.6030745509.

Adding to 10082 its reverse (28001), we get a palindrome (38083).

It can be divided in two parts, 1008 and 2, that multiplied together give a triangular number (2016 = T_{63}).

The spelling of 10082 in words is "ten thousand, eighty-two".

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