20946 has 8 divisors (see below), whose sum is σ = 41904. Its totient is φ = 6980.

The previous prime is 20939. The next prime is 20947. The reversal of 20946 is 64902.

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

20946 is an admirable number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20947) 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 3 ways as a sum of consecutive naturals, for example, 1740 + ... + 1751.

It is an arithmetic number, because the mean of its divisors is an integer number (5238).

2²⁰⁹⁴⁶ is an apocalyptic number.

20946 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 (20952).

20946 is a wasteful number, since it uses less digits than its factorization.

20946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 20946 is about 144.7273298310. The cubic root of 20946 is about 27.5655735436.

Subtracting 20946 from its reverse (64902), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 20946 in words is "twenty thousand, nine hundred forty-six".