10873 has 4 divisors (see below), whose sum is σ = 11088. Its totient is φ = 10660.

The previous prime is 10867. The next prime is 10883. The reversal of 10873 is 37801.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 37801 = 103 ⋅367.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10873 is a prime.

It is a Duffinian number.

10873 is a lucky 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 10873.

It is not an unprimeable number, because it can be changed into a prime (10853) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18 + ... + 148.

It is an arithmetic number, because the mean of its divisors is an integer number (2772).

2¹⁰⁸⁷³ is an apocalyptic number.

It is an amenable number.

10873 is a deficient number, since it is larger than the sum of its proper divisors (215).

10873 is an equidigital number, since it uses as much as digits as its factorization.

10873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 10873 is about 104.2736783661. The cubic root of 10873 is about 22.1538798497.

It can be divided in two parts, 108 and 73, that added together give a palindrome (181).

The spelling of 10873 in words is "ten thousand, eight hundred seventy-three".