10751 has 4 divisors (see below), whose sum is σ = 11592. Its totient is φ = 9912.

The previous prime is 10739. The next prime is 10753. The reversal of 10751 is 15701.

10751 = T₃₄ + T₃₅ + ... + T₄₆.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 15701 = 7 ⋅2243.

It is a cyclic number.

It is not a de Polignac number, because 10751 - 2⁶ = 10687 is a prime.

It is a Duffinian number.

It is a plaindrome in base 8 and base 16.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 401 + ... + 426.

It is an arithmetic number, because the mean of its divisors is an integer number (2898).

2¹⁰⁷⁵¹ is an apocalyptic number.

10751 is a deficient number, since it is larger than the sum of its proper divisors (841).

10751 is an equidigital number, since it uses as much as digits as its factorization.

10751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840.

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 10751 is about 103.6870290827. The cubic root of 10751 is about 22.0707091328.

Subtracting 10751 from its reverse (15701), we obtain a triangular number (4950 = T₉₉).

The spelling of 10751 in words is "ten thousand, seven hundred fifty-one".