10775 has 6 divisors (see below), whose sum is σ = 13392. Its totient is φ = 8600.

The previous prime is 10771. The next prime is 10781. The reversal of 10775 is 57701.

10775 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10775 - 2² = 10771 is a prime.

It is a super-2 number, since 2×10775² = 232201250, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10771) 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 in 5 ways as a sum of consecutive naturals, for example, 191 + ... + 240.

It is an arithmetic number, because the mean of its divisors is an integer number (2232).

2¹⁰⁷⁷⁵ is an apocalyptic number.

10775 is a deficient number, since it is larger than the sum of its proper divisors (2617).

10775 is an equidigital number, since it uses as much as digits as its factorization.

10775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 245, while the sum is 20.

The square root of 10775 is about 103.8026974601. The cubic root of 10775 is about 22.0871201132.

It can be divided in two parts, 10 and 775, that multiplied together give a triangular number (7750 = T₁₂₄).

The spelling of 10775 in words is "ten thousand, seven hundred seventy-five".