971984 has 20 divisors (see below), whose sum is σ = 2028516. Its totient is φ = 448512.

The previous prime is 971981. The next prime is 971989. The reversal of 971984 is 489179.

971984 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 2 ways, for example, as 577600 + 394384 = 760^2 + 628^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2129 + ... + 2544.

2⁹⁷¹⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

971984 is an abundant number, since it is smaller than the sum of its proper divisors (1056532).

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

971984 is a wasteful number, since it uses less digits than its factorization.

971984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4694 (or 4688 counting only the distinct ones).

The product of its digits is 18144, while the sum is 38.

The square root of 971984 is about 985.8924890676. The cubic root of 971984 is about 99.0572739367.

The spelling of 971984 in words is "nine hundred seventy-one thousand, nine hundred eighty-four".