893312 has 32 divisors (see below), whose sum is σ = 2035920. Its totient is φ = 382464.

The previous prime is 893281. The next prime is 893317. The reversal of 893312 is 213398.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (893317) by changing a digit.

893312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 398 + ... + 1394.

2⁸⁹³³¹² 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 893312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017960).

893312 is an abundant number, since it is smaller than the sum of its proper divisors (1142608).

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

893312 is an equidigital number, since it uses as much as digits as its factorization.

893312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1006 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 893312 is about 945.1518396533. The cubic root of 893312 is about 96.3091883098.

It can be divided in two parts, 8 and 93312, that multiplied together give a square (746496 = 864²).

The spelling of 893312 in words is "eight hundred ninety-three thousand, three hundred twelve".