20814 has 8 divisors (see below), whose sum is σ = 41640. Its totient is φ = 6936.

The previous prime is 20809. The next prime is 20849. The reversal of 20814 is 41802.

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

20814 is an admirable number.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 20793 and 20802.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 20814.

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 3 ways as a sum of consecutive naturals, for example, 1729 + ... + 1740.

It is an arithmetic number, because the mean of its divisors is an integer number (5205).

2^{20814} is an apocalyptic number.

20814 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 (20820).

20814 is a wasteful number, since it uses less digits than its factorization.

20814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 20814 is about 144.2705791213. The cubic root of 20814 is about 27.5075461385.

It can be divided in two parts, 208 and 14, that added together give a palindrome (222).

The spelling of 20814 in words is "twenty thousand, eight hundred fourteen".

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