20164 has 9 divisors (see below), whose sum is σ = 35791. Its totient is φ = 9940.

The previous prime is 20161. The next prime is 20173. The reversal of 20164 is 46102.

20164 = T_{141} + T_{142}.

The square root of 20164 is 142.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20161) 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 2 ways as a sum of consecutive naturals, for example, 249 + ... + 319.

2^{20164} is an apocalyptic number.

20164 is the 142-nd square number.

It is an amenable number.

20164 is a deficient number, since it is larger than the sum of its proper divisors (15627).

20164 is an equidigital number, since it uses as much as digits as its factorization.

20164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The cubic root of 20164 is about 27.2181683691.

Adding to 20164 its reverse (46102), we get a palindrome (66266).

The spelling of 20164 in words is "twenty thousand, one hundred sixty-four".

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