11261 has 2 divisors, whose sum is σ = 11262. Its totient is φ = 11260.

The previous prime is 11257. The next prime is 11273. The reversal of 11261 is 16211.

It is a m-pointer prime, because the next prime (11273) can be obtained adding 11261 to its product of digits (12).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11236 + 25 = 106^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 11261 - 2² = 11257 is a prime.

It is a Chen prime.

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11261.

It is not a weakly prime, because it can be changed into another prime (11251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5630 + 5631.

It is an arithmetic number, because the mean of its divisors is an integer number (5631).

2¹¹²⁶¹ is an apocalyptic number.

It is an amenable number.

11261 is a deficient number, since it is larger than the sum of its proper divisors (1).

11261 is an equidigital number, since it uses as much as digits as its factorization.

11261 is an odious number, because the sum of its binary digits is odd.

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

The square root of 11261 is about 106.1178590059. The cubic root of 11261 is about 22.4143243838.

Adding to 11261 its reverse (16211), we get a palindrome (27472).

Subtracting 11261 from its reverse (16211), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 11 and 261, that added together give a palindrome (272).

The spelling of 11261 in words is "eleven thousand, two hundred sixty-one".