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9927 = 321103
BaseRepresentation
bin10011011000111
3111121200
42123013
5304202
6113543
740641
oct23307
914550
109927
117505
1258b3
134698
143891
152e1c
hex26c7

9927 has 6 divisors (see below), whose sum is σ = 14352. Its totient is φ = 6612.

The previous prime is 9923. The next prime is 9929. The reversal of 9927 is 7299.

It is not a de Polignac number, because 9927 - 22 = 9923 is a prime.

9927 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 9927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9923) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 543 + ... + 560.

It is an arithmetic number, because the mean of its divisors is an integer number (2392).

29927 is an apocalyptic number.

9927 is a deficient number, since it is larger than the sum of its proper divisors (4425).

9927 is a wasteful number, since it uses less digits than its factorization.

9927 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1106 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 9927 is about 99.6343314325. The cubic root of 9927 is about 21.4917942365.

Subtracting from 9927 its reverse (7299), we obtain a triangular number (2628 = T72).

It can be divided in two parts, 992 and 7, that added together give a palindrome (999).

The spelling of 9927 in words is "nine thousand, nine hundred twenty-seven".

Divisors: 1 3 9 1103 3309 9927