973008 has 60 divisors (see below), whose sum is σ = 2829060. Its totient is φ = 311808.

The previous prime is 973003. The next prime is 973031. The reversal of 973008 is 800379.

It is a happy number.

973008 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 345744 + 627264 = 588^2 + 792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4060 + ... + 4292.

It is an arithmetic number, because the mean of its divisors is an integer number (47151).

2⁹⁷³⁰⁰⁸ 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 973008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414530).

973008 is an abundant number, since it is smaller than the sum of its proper divisors (1856052).

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

973008 is a wasteful number, since it uses less digits than its factorization.

973008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 973008 is about 986.4116787630. The cubic root of 973008 is about 99.0920478453.

The spelling of 973008 in words is "nine hundred seventy-three thousand, eight".