20364 has 12 divisors (see below), whose sum is σ = 47544. Its totient is φ = 6784.

The previous prime is 20359. The next prime is 20369. The reversal of 20364 is 46302.

It is an interprime number because it is at equal distance from previous prime (20359) and next prime (20369).

It is a tau number, because it is divible by the number of its divisors (12).

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 20364.

It is not an unprimeable number, because it can be changed into a prime (20369) by changing a digit.

20364 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 837 + ... + 860.

It is an arithmetic number, because the mean of its divisors is an integer number (3962).

2²⁰³⁶⁴ is an apocalyptic number.

It is an amenable number.

20364 is an abundant number, since it is smaller than the sum of its proper divisors (27180).

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 (23772).

20364 is a wasteful number, since it uses less digits than its factorization.

20364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 20364 is about 142.7024877148. The cubic root of 20364 is about 27.3078617887.

Adding to 20364 its reverse (46302), we get a palindrome (66666).

The spelling of 20364 in words is "twenty thousand, three hundred sixty-four".