891873 has 12 divisors (see below), whose sum is σ = 1320228. Its totient is φ = 579840.

The previous prime is 891859. The next prime is 891887. The reversal of 891873 is 378198.

It is an interprime number because it is at equal distance from previous prime (891859) and next prime (891887).

It can be written as a sum of positive squares in 2 ways, for example, as 471969 + 419904 = 687^2 + 648^2 .

It is not a de Polignac number, because 891873 - 2⁶ = 891809 is a prime.

891873 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (891823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 840 + ... + 1577.

It is an arithmetic number, because the mean of its divisors is an integer number (110019).

2⁸⁹¹⁸⁷³ is an apocalyptic number.

It is an amenable number.

891873 is a deficient number, since it is larger than the sum of its proper divisors (428355).

891873 is a wasteful number, since it uses less digits than its factorization.

891873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 2461 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 891873 is about 944.3902794925. The cubic root of 891873 is about 96.2574469979.

It can be divided in two parts, 891 and 873, that added together give a square (1764 = 42²).

The spelling of 891873 in words is "eight hundred ninety-one thousand, eight hundred seventy-three".