10769 has 6 divisors (see below), whose sum is σ = 11970. Its totient is φ = 9680.

The previous prime is 10753. The next prime is 10771. The reversal of 10769 is 96701.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7744 + 3025 = 88^2 + 55^2 .

It is not a de Polignac number, because 10769 - 2⁴ = 10753 is a prime.

It is a super-2 number, since 2×10769² = 231942722, which contains 22 as substring.

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

It is a Duffinian number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (10709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77 + ... + 165.

It is an arithmetic number, because the mean of its divisors is an integer number (1995).

2¹⁰⁷⁶⁹ is an apocalyptic number.

It is an amenable number.

10769 is a deficient number, since it is larger than the sum of its proper divisors (1201).

10769 is an equidigital number, since it uses as much as digits as its factorization.

10769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 10769 is about 103.7737924526. The cubic root of 10769 is about 22.0830196546.

The spelling of 10769 in words is "ten thousand, seven hundred sixty-nine".