973500 has 96 divisors (see below), whose sum is σ = 3144960. Its totient is φ = 232000.

The previous prime is 973487. The next prime is 973523. The reversal of 973500 is 5379.

It is a congruent number.

It is an unprimeable number.

973500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16471 + ... + 16529.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2⁹⁷³⁵⁰⁰ 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 973500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480).

973500 is an abundant number, since it is smaller than the sum of its proper divisors (2171460).

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

973500 is a wasteful number, since it uses less digits than its factorization.

973500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 973500 is about 986.6610360200. The cubic root of 973500 is about 99.1087469449.

Adding to 973500 its reverse (5379), we get a palindrome (978879).

The spelling of 973500 in words is "nine hundred seventy-three thousand, five hundred".