27712 has 14 divisors (see below), whose sum is σ = 55118. Its totient is φ = 13824.

The previous prime is 27701. The next prime is 27733. The reversal of 27712 is 21772.

It can be written as a sum of positive squares in only one way, i.e., 18496 + 9216 = 136^2 + 96^2 .

It is a nialpdrome in base 8.

It is a self number, because there is not a number *n* which added to its sum of digits gives 27712.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 153 + ... + 280.

It is an arithmetic number, because the mean of its divisors is an integer number (3937).

2^{27712} is an apocalyptic number.

It is an amenable number.

27712 is a deficient number, since it is larger than the sum of its proper divisors (27406).

27712 is an equidigital number, since it uses as much as digits as its factorization.

27712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 435 counting only the distinct ones).

The product of its digits is 196, while the sum is 19.

The square root of 27712 is about 166.4692163735. The cubic root of 27712 is about 30.2614190889.

It can be divided in two parts, 277 and 12, that added together give a square (289 = 17^{2}).

The spelling of 27712 in words is "twenty-seven thousand, seven hundred twelve", and thus it is an iban number.

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