10851 has 4 divisors (see below), whose sum is σ = 14472. Its totient is φ = 7232.

The previous prime is 10847. The next prime is 10853. The reversal of 10851 is 15801.

It is a happy number.

10851 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 10851 - 2² = 10847 is a prime.

It is a D-number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 10851.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10851.

It is not an unprimeable number, because it can be changed into a prime (10853) 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 3 ways as a sum of consecutive naturals, for example, 1806 + ... + 1811.

It is an arithmetic number, because the mean of its divisors is an integer number (3618).

2¹⁰⁸⁵¹ is an apocalyptic number.

10851 is a deficient number, since it is larger than the sum of its proper divisors (3621).

10851 is an equidigital number, since it uses as much as digits as its factorization.

10851 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 10851 is about 104.1681333230. The cubic root of 10851 is about 22.1389279981.

Subtracting 10851 from its reverse (15801), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 10 and 851, that added together give a triangular number (861 = T₄₁).

The spelling of 10851 in words is "ten thousand, eight hundred fifty-one".