40082 has 12 divisors (see below), whose sum is σ = 70110. Its totient is φ = 17136.

The previous prime is 40063. The next prime is 40087. The reversal of 40082 is 28004.

It can be written as a sum of positive squares in only one way, i.e., 25921 + 14161 = 161^2 + 119^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40082.

It is not an unprimeable number, because it can be changed into a prime (40087) by changing a digit.

40082 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 5 ways as a sum of consecutive naturals, for example, 107 + ... + 302.

2⁴⁰⁰⁸² is an apocalyptic number.

40082 is a deficient number, since it is larger than the sum of its proper divisors (30028).

40082 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (40081) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (418).

40082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 40082 is about 200.2048950451. The cubic root of 40082 is about 34.2228726537. Note that the first 3 decimals are identical.

Adding to 40082 its reverse (28004), we get a palindrome (68086).

The spelling of 40082 in words is "forty thousand, eighty-two".