81873 has 12 divisors (see below), whose sum is σ = 129168. Its totient is φ = 49560.

The previous prime is 81869. The next prime is 81883. The reversal of 81873 is 37818.

It is not a de Polignac number, because 81873 - 2² = 81869 is a prime.

It is not an unprimeable number, because it can be changed into a prime (81853) 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 11 ways as a sum of consecutive naturals, for example, 315 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (10764).

2⁸¹⁸⁷³ is an apocalyptic number.

It is an amenable number.

81873 is a deficient number, since it is larger than the sum of its proper divisors (47295).

81873 is a wasteful number, since it uses less digits than its factorization.

81873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 841 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 81873 is about 286.1345837189. The cubic root of 81873 is about 43.4223744414.

It can be divided in two parts, 8 and 1873, that added together give a palindrome (1881).

The spelling of 81873 in words is "eighty-one thousand, eight hundred seventy-three".