10756 has 6 divisors (see below), whose sum is σ = 18830. Its totient is φ = 5376.

The previous prime is 10753. The next prime is 10771. The reversal of 10756 is 65701.

10756 is nontrivially palindromic in base 7.

10756 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 6400 + 4356 = 80^2 + 66^2 .

It is not an unprimeable number, because it can be changed into a prime (10753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1341 + ... + 1348.

2¹⁰⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

10756 is a deficient number, since it is larger than the sum of its proper divisors (8074).

10756 is a wasteful number, since it uses less digits than its factorization.

10756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2691 counting only the distinct ones).

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

The square root of 10756 is about 103.7111372997. The cubic root of 10756 is about 22.0741300997.

Subtracting 10756 from its reverse (65701), we obtain a palindrome (54945).

It can be divided in two parts, 1075 and 6, that added together give a triangular number (1081 = T₄₆).

The spelling of 10756 in words is "ten thousand, seven hundred fifty-six".