981072 has 50 divisors (see below), whose sum is σ = 2843258. Its totient is φ = 326592.

The previous prime is 981067. The next prime is 981073. The reversal of 981072 is 270189.

981072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 876096 + 104976 = 936^2 + 324^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981073) by changing a digit.

981072 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 9 ways as a sum of consecutive naturals, for example, 918 + ... + 1674.

2⁹⁸¹⁰⁷² 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 981072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421629).

981072 is an abundant number, since it is smaller than the sum of its proper divisors (1862186).

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

981072 is a wasteful number, since it uses less digits than its factorization.

981072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 981072 is about 990.4907874382. The cubic root of 981072 is about 99.3650435023.

The spelling of 981072 in words is "nine hundred eighty-one thousand, seventy-two".