973128 has 32 divisors (see below), whose sum is σ = 2620800. Its totient is φ = 299328.

The previous prime is 973099. The next prime is 973129. The reversal of 973128 is 821379.

It is a happy number.

973128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 973095 and 973104.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 973128.

It is not an unprimeable number, because it can be changed into a prime (973129) by changing a digit.

973128 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 7 ways as a sum of consecutive naturals, for example, 1248 + ... + 1871.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

2⁹⁷³¹²⁸ is an apocalyptic number.

It is an amenable number.

973128 is an abundant number, since it is smaller than the sum of its proper divisors (1647672).

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

973128 is a wasteful number, since it uses less digits than its factorization.

973128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141 (or 3137 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 973128 is about 986.4725034181. The cubic root of 973128 is about 99.0961213154.

It can be divided in two parts, 9 and 73128, that added together give a palindrome (73137).

The spelling of 973128 in words is "nine hundred seventy-three thousand, one hundred twenty-eight".