27751 has 2 divisors, whose sum is σ = 27752. Its totient is φ = 27750.

The previous prime is 27749. The next prime is 27763. The reversal of 27751 is 15772.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 27751 - 2¹ = 27749 is a prime.

Together with 27749, it forms a pair of twin primes.

27751 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13875 + 13876.

It is an arithmetic number, because the mean of its divisors is an integer number (13876).

2²⁷⁷⁵¹ is an apocalyptic number.

27751 is the 75-th centered decagonal number.

27751 is a deficient number, since it is larger than the sum of its proper divisors (1).

27751 is an equidigital number, since it uses as much as digits as its factorization.

27751 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 490, while the sum is 22.

The square root of 27751 is about 166.5863139637. The cubic root of 27751 is about 30.2756083948.

Subtracting from 27751 its product of digits (490), we obtain a triangular number (27261 = T₂₃₃).

The spelling of 27751 in words is "twenty-seven thousand, seven hundred fifty-one".