21714 has 32 divisors (see below), whose sum is σ = 55296. Its totient is φ = 5520.

The previous prime is 21713. The next prime is 21727. The reversal of 21714 is 41712.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 21693 and 21702.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 21714.

It is not an unprimeable number, because it can be changed into a prime (21713) 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 15 ways as a sum of consecutive naturals, for example, 439 + ... + 485.

It is an arithmetic number, because the mean of its divisors is an integer number (1728).

2²¹⁷¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27648).

21714 is an abundant number, since it is smaller than the sum of its proper divisors (33582).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21714 is a wasteful number, since it uses less digits than its factorization.

21714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70.

The product of its digits is 56, while the sum is 15.

The square root of 21714 is about 147.3567100610. The cubic root of 21714 is about 27.8984416082.

It can be divided in two parts, 217 and 14, that added together give a triangular number (231 = T₂₁).

The spelling of 21714 in words is "twenty-one thousand, seven hundred fourteen", and thus it is an iban number.