10781 has 2 divisors, whose sum is σ = 10782. Its totient is φ = 10780.

The previous prime is 10771. The next prime is 10789. The reversal of 10781 is 18701.

10781 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8281 + 2500 = 91^2 + 50^2 .

It is an emirp because it is prime and its reverse (18701) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10781 is a prime.

It is a super-2 number, since 2×10781² = 232459922, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a nialpdrome in base 5 and base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10789) 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, 5390 + 5391.

It is an arithmetic number, because the mean of its divisors is an integer number (5391).

2¹⁰⁷⁸¹ is an apocalyptic number.

10781 is the 56-th centered heptagonal number.

It is an amenable number.

10781 is a deficient number, since it is larger than the sum of its proper divisors (1).

10781 is an equidigital number, since it uses as much as digits as its factorization.

10781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 10781 is about 103.8315944210. The cubic root of 10781 is about 22.0912190500.

The spelling of 10781 in words is "ten thousand, seven hundred eighty-one".