973104 has 80 divisors (see below), whose sum is σ = 2916480. Its totient is φ = 276480.

The previous prime is 973099. The next prime is 973129. The reversal of 973104 is 401379.

973104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

973104 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 15 ways as a sum of consecutive naturals, for example, 9984 + ... + 10080.

It is an arithmetic number, because the mean of its divisors is an integer number (36456).

2⁹⁷³¹⁰⁴ 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 973104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458240).

973104 is an abundant number, since it is smaller than the sum of its proper divisors (1943376).

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

973104 is a wasteful number, since it uses less digits than its factorization.

973104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 973104 is about 986.4603387871. The cubic root of 973104 is about 99.0953066482.

The spelling of 973104 in words is "nine hundred seventy-three thousand, one hundred four".