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27999 = 331761
BaseRepresentation
bin110110101011111
31102102000
412311133
51343444
6333343
7144426
oct66537
942360
1027999
111a044
1214253
13c98a
14a2bd
158469
hex6d5f

27999 has 16 divisors (see below), whose sum is σ = 44640. Its totient is φ = 17280.

The previous prime is 27997. The next prime is 28001. The reversal of 27999 is 99972.

It is an interprime number because it is at equal distance from previous prime (27997) and next prime (28001).

It is not a de Polignac number, because 27999 - 21 = 27997 is a prime.

Its product of digits (10206) is a multiple of the sum of its prime divisors (81).

27999 is a modest number, since divided by 999 gives 27 as remainder.

It is a plaindrome in base 10.

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 27999.

It is not an unprimeable number, because it can be changed into a prime (27997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429 + ... + 489.

It is an arithmetic number, because the mean of its divisors is an integer number (2790).

227999 is an apocalyptic number.

27999 is a deficient number, since it is larger than the sum of its proper divisors (16641).

27999 is a wasteful number, since it uses less digits than its factorization.

27999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 81 counting only the distinct ones).

The product of its digits is 10206, while the sum is 36.

The square root of 27999 is about 167.3290172086. The cubic root of 27999 is about 30.3655282158.

It can be divided in two parts, 279 and 99, that added together give a triangular number (378 = T27).

The spelling of 27999 in words is "twenty-seven thousand, nine hundred ninety-nine".

Divisors: 1 3 9 17 27 51 61 153 183 459 549 1037 1647 3111 9333 27999