27697 has 2 divisors, whose sum is σ = 27698. Its totient is φ = 27696.

The previous prime is 27691. The next prime is 27701. The reversal of 27697 is 79672.

It is a happy number.

27697 is nontrivially palindromic in base 12.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15376 + 12321 = 124^2 + 111^2 .

It is a cyclic number.

It is not a de Polignac number, because 27697 - 2³ = 27689 is a prime.

It is a d-powerful number, because it can be written as 2¹³ + 7⁴ + 6³ + 9² + 7⁵ .

It is not a weakly prime, because it can be changed into another prime (27691) 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, 13848 + 13849.

It is an arithmetic number, because the mean of its divisors is an integer number (13849).

2²⁷⁶⁹⁷ is an apocalyptic number.

It is an amenable number.

27697 is a deficient number, since it is larger than the sum of its proper divisors (1).

27697 is an equidigital number, since it uses as much as digits as its factorization.

27697 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5292, while the sum is 31.

The square root of 27697 is about 166.4241569004. The cubic root of 27697 is about 30.2559581188.

It can be divided in two parts, 276 and 97, that added together give a palindrome (373).

The spelling of 27697 in words is "twenty-seven thousand, six hundred ninety-seven".