20802 has 8 divisors (see below), whose sum is σ = 41616. Its totient is φ = 6932.

The previous prime is 20789. The next prime is 20807.

20802 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

20802 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (20807) by changing a digit.

20802 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1728 + ... + 1739.

It is an arithmetic number, because the mean of its divisors is an integer number (5202).

2²⁰⁸⁰² is an apocalyptic number.

20802 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (20808).

20802 is a wasteful number, since it uses less digits than its factorization.

20802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 20802 is about 144.2289846043. The cubic root of 20802 is about 27.5022587676.

The spelling of 20802 in words is "twenty thousand, eight hundred two".