27755 has 16 divisors (see below), whose sum is σ = 41664. Its totient is φ = 17280.

The previous prime is 27751. The next prime is 27763. The reversal of 27755 is 55772.

It is not a de Polignac number, because 27755 - 2² = 27751 is a prime.

It is a nialpdrome in base 13.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (27751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425 + ... + 485.

It is an arithmetic number, because the mean of its divisors is an integer number (2604).

2²⁷⁷⁵⁵ is an apocalyptic number.

27755 is a deficient number, since it is larger than the sum of its proper divisors (13909).

27755 is a wasteful number, since it uses less digits than its factorization.

27755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86.

The product of its digits is 2450, while the sum is 26.

The square root of 27755 is about 166.5983193193. The cubic root of 27755 is about 30.2770629564.

The spelling of 27755 in words is "twenty-seven thousand, seven hundred fifty-five".