21114 has 32 divisors (see below), whose sum is σ = 51840. Its totient is φ = 6336.

The previous prime is 21107. The next prime is 21121. The reversal of 21114 is 41112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21107) and next prime (21121).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 21096 and 21105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 907 + ... + 929.

It is an arithmetic number, because the mean of its divisors is an integer number (1620).

2^{21114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25920).

21114 is an abundant number, since it is smaller than the sum of its proper divisors (30726).

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

21114 is a wasteful number, since it uses less digits than its factorization.

21114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 45 counting only the distinct ones).

The product of its digits is 8, while the sum is 9.

The square root of 21114 is about 145.3065724597. The cubic root of 21114 is about 27.6390750876.

Adding to 21114 its reverse (41112), we get a palindrome (62226).

It can be divided in two parts, 211 and 14, that added together give a square (225 = 15^{2}).

The spelling of 21114 in words is "twenty-one thousand, one hundred fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 102 138 153 207 306 391 414 459 621 782 918 1173 1242 2346 3519 7038 10557 21114

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