981312 has 56 divisors (see below), whose sum is σ = 2743200. Its totient is φ = 308736.

The previous prime is 981311. The next prime is 981319. The reversal of 981312 is 213189.

981312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 981312.

It is not an unprimeable number, because it can be changed into a prime (981311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3514 + ... + 3782.

2⁹⁸¹³¹² 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 981312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371600).

981312 is an abundant number, since it is smaller than the sum of its proper divisors (1761888).

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

981312 is a wasteful number, since it uses less digits than its factorization.

981312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 981312 is about 990.6119320905. The cubic root of 981312 is about 99.3731454106.

The spelling of 981312 in words is "nine hundred eighty-one thousand, three hundred twelve".