20713 has 8 divisors (see below), whose sum is σ = 25920. Its totient is φ = 16080.

The previous prime is 20707. The next prime is 20717. The reversal of 20713 is 31702.

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

It is a cyclic number.

It is not a de Polignac number, because 20713 - 2⁵ = 20681 is a prime.

It is a Duffinian number.

20713 is a lucky number.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 20693 and 20702.

It is not an unprimeable number, because it can be changed into a prime (20717) 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, 58 + ... + 211.

It is an arithmetic number, because the mean of its divisors is an integer number (3240).

2²⁰⁷¹³ is an apocalyptic number.

It is an amenable number.

20713 is a deficient number, since it is larger than the sum of its proper divisors (5207).

20713 is a wasteful number, since it uses less digits than its factorization.

20713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287.

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 20713 is about 143.9201167315. The cubic root of 20713 is about 27.4629804911.

The spelling of 20713 in words is "twenty thousand, seven hundred thirteen".