50082 has 16 divisors (see below), whose sum is σ = 106272. Its totient is φ = 15680.

The previous prime is 50077. The next prime is 50087. The reversal of 50082 is 28005.

It is an interprime number because it is at equal distance from previous prime (50077) and next prime (50087).

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 50082.

It is not an unprimeable number, because it can be changed into a prime (50087) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 144 + ... + 347.

It is an arithmetic number, because the mean of its divisors is an integer number (6642).

2⁵⁰⁰⁸² is an apocalyptic number.

50082 is an abundant number, since it is smaller than the sum of its proper divisors (56190).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53136).

50082 is a wasteful number, since it uses less digits than its factorization.

50082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 50082 is about 223.7900802091. The cubic root of 50082 is about 36.8604433591.

Adding to 50082 its reverse (28005), we get a palindrome (78087).

The spelling of 50082 in words is "fifty thousand, eighty-two".