12611 has 2 divisors, whose sum is σ = 12612. Its totient is φ = 12610.

The previous prime is 12601. The next prime is 12613. The reversal of 12611 is 11621.

12611 is nontrivially palindromic in base 8.

It is a strong prime.

It is an emirp because it is prime and its reverse (11621) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12611 - 2⁶ = 12547 is a prime.

Together with 12613, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 12592 and 12601.

It is not a weakly prime, because it can be changed into another prime (12613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6305 + 6306.

It is an arithmetic number, because the mean of its divisors is an integer number (6306).

2¹²⁶¹¹ is an apocalyptic number.

12611 is a deficient number, since it is larger than the sum of its proper divisors (1).

12611 is an equidigital number, since it uses as much as digits as its factorization.

12611 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12, while the sum is 11.

The square root of 12611 is about 112.2987088082. The cubic root of 12611 is about 23.2764373413.

Subtracting from 12611 its reverse (11621), we obtain a triangular number (990 = T₄₄).

The spelling of 12611 in words is "twelve thousand, six hundred eleven".