20084 has 6 divisors (see below), whose sum is σ = 35154. Its totient is φ = 10040.

The previous prime is 20071. The next prime is 20089. The reversal of 20084 is 48002.

It can be written as a sum of positive squares in only one way, i.e., 19600 + 484 = 140^2 + 22^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2507 + ... + 2514.

It is an arithmetic number, because the mean of its divisors is an integer number (5859).

2²⁰⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

20084 is a deficient number, since it is larger than the sum of its proper divisors (15070).

20084 is a wasteful number, since it uses less digits than its factorization.

20084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5025 (or 5023 counting only the distinct ones).

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

The square root of 20084 is about 141.7180299045. The cubic root of 20084 is about 27.1821249338.

Adding to 20084 its reverse (48002), we get a palindrome (68086).

The spelling of 20084 in words is "twenty thousand, eighty-four".