20937 has 8 divisors (see below), whose sum is σ = 31936. Its totient is φ = 11952.

The previous prime is 20929. The next prime is 20939. The reversal of 20937 is 73902.

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

It is not a de Polignac number, because 20937 - 2³ = 20929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 997 = 20937 / (2 + 0 + 9 + 3 + 7).

It is an Ulam number.

It is a Duffinian number.

20937 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 20937.

It is not an unprimeable number, because it can be changed into a prime (20939) 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 7 ways as a sum of consecutive naturals, for example, 478 + ... + 519.

It is an arithmetic number, because the mean of its divisors is an integer number (3992).

2²⁰⁹³⁷ is an apocalyptic number.

It is an amenable number.

20937 is a deficient number, since it is larger than the sum of its proper divisors (10999).

20937 is an equidigital number, since it uses as much as digits as its factorization.

20937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007.

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 20937 is about 144.6962335377. The cubic root of 20937 is about 27.5616248867.

The spelling of 20937 in words is "twenty thousand, nine hundred thirty-seven".