971728 has 10 divisors (see below), whose sum is σ = 1882754. Its totient is φ = 485856.

The previous prime is 971723. The next prime is 971753. The reversal of 971728 is 827179.

It can be written as a sum of positive squares in only one way, i.e., 788544 + 183184 = 888^2 + 428^2 .

It is a junction number, because it is equal to n+sod(n) for n = 971693 and 971702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30351 + ... + 30382.

2⁹⁷¹⁷²⁸ is an apocalyptic number.

It is an amenable number.

971728 is a deficient number, since it is larger than the sum of its proper divisors (911026).

971728 is a wasteful number, since it uses less digits than its factorization.

971728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60741 (or 60735 counting only the distinct ones).

The product of its digits is 7056, while the sum is 34.

The square root of 971728 is about 985.7626489171. The cubic root of 971728 is about 99.0485766438.

The spelling of 971728 in words is "nine hundred seventy-one thousand, seven hundred twenty-eight".