27793 has 2 divisors, whose sum is σ = 27794. Its totient is φ = 27792.

The previous prime is 27791. The next prime is 27799. The reversal of 27793 is 39772.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16129 + 11664 = 127^2 + 108^2 .

It is a cyclic number.

It is not a de Polignac number, because 27793 - 2¹ = 27791 is a prime.

Together with 27791, it forms a pair of twin primes.

27793 is a lucky number.

It is a nialpdrome in base 8 and base 9.

It is not a weakly prime, because it can be changed into another prime (27791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13896 + 13897.

It is an arithmetic number, because the mean of its divisors is an integer number (13897).

2²⁷⁷⁹³ is an apocalyptic number.

It is an amenable number.

27793 is a deficient number, since it is larger than the sum of its proper divisors (1).

27793 is an equidigital number, since it uses as much as digits as its factorization.

27793 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2646, while the sum is 28.

The square root of 27793 is about 166.7123270787. The cubic root of 27793 is about 30.2908743263.

It can be divided in two parts, 27 and 793, that added together give a triangular number (820 = T₄₀).

The spelling of 27793 in words is "twenty-seven thousand, seven hundred ninety-three".