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BaseRepresentation
bin100110100000001
31000001010
410310001
51112323
6231133
7111321
oct46401
930033
1019713
11138a1
12b4a9
138c85
147281
155c93
hex4d01

19713 has 4 divisors (see below), whose sum is σ = 26288. Its totient is φ = 13140.

The previous prime is 19709. The next prime is 19717. The reversal of 19713 is 31791.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 31791 = 310597.

It is an interprime number because it is at equal distance from previous prime (19709) and next prime (19717).

It is not a de Polignac number, because 19713 - 22 = 19709 is a prime.

It is a D-number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19713.

It is not an unprimeable number, because it can be changed into a prime (19717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3283 + ... + 3288.

It is an arithmetic number, because the mean of its divisors is an integer number (6572).

It is a Proth number, since it is equal to 77 ⋅ 28 + 1 and 77 < 28.

219713 is an apocalyptic number.

It is an amenable number.

19713 is a deficient number, since it is larger than the sum of its proper divisors (6575).

19713 is an equidigital number, since it uses as much as digits as its factorization.

19713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6574.

The product of its digits is 189, while the sum is 21.

The square root of 19713 is about 140.4029914211. The cubic root of 19713 is about 27.0137104578.

It can be divided in two parts, 197 and 13, that added together give a triangular number (210 = T20).

The spelling of 19713 in words is "nineteen thousand, seven hundred thirteen".

Divisors: 1 3 6571 19713