873312 has 48 divisors (see below), whose sum is σ = 2503872. Its totient is φ = 264320.

The previous prime is 873293. The next prime is 873317. The reversal of 873312 is 213378.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 873312.

It is not an unprimeable number, because it can be changed into a prime (873317) by changing a digit.

873312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 643 + ... + 1469.

It is an arithmetic number, because the mean of its divisors is an integer number (52164).

2⁸⁷³³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 873312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251936).

873312 is an abundant number, since it is smaller than the sum of its proper divisors (1630560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

873312 is a wasteful number, since it uses less digits than its factorization.

873312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 843 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 873312 is about 934.5116371667. The cubic root of 873312 is about 95.5850142532.

The spelling of 873312 in words is "eight hundred seventy-three thousand, three hundred twelve".