10771 has 2 divisors, whose sum is σ = 10772. Its totient is φ = 10770.

The previous prime is 10753. The next prime is 10781. The reversal of 10771 is 17701.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10771 - 2⁵ = 10739 is a prime.

It is not a weakly prime, because it can be changed into another prime (10711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5385 + 5386.

It is an arithmetic number, because the mean of its divisors is an integer number (5386).

2¹⁰⁷⁷¹ is an apocalyptic number.

10771 is a deficient number, since it is larger than the sum of its proper divisors (1).

10771 is an equidigital number, since it uses as much as digits as its factorization.

10771 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 49, while the sum is 16.

The square root of 10771 is about 103.7834283496. The cubic root of 10771 is about 22.0843866433.

The spelling of 10771 in words is "ten thousand, seven hundred seventy-one", and thus it is an iban number.