10765 has 4 divisors (see below), whose sum is σ = 12924. Its totient is φ = 8608.

The previous prime is 10753. The next prime is 10771. The reversal of 10765 is 56701.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2116 + 8649 = 46^2 + 93^2 .

It is a cyclic number.

It is not a de Polignac number, because 10765 - 2⁵ = 10733 is a prime.

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

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1072 + ... + 1081.

It is an arithmetic number, because the mean of its divisors is an integer number (3231).

2¹⁰⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

10765 is a deficient number, since it is larger than the sum of its proper divisors (2159).

10765 is an equidigital number, since it uses as much as digits as its factorization.

10765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 10765 is about 103.7545179739. The cubic root of 10765 is about 22.0802851692.

It can be divided in two parts, 1076 and 5, that added together give a triangular number (1081 = T₄₆).

The spelling of 10765 in words is "ten thousand, seven hundred sixty-five".