973805000 has 80 divisors (see below), whose sum is σ = 2607665280. Its totient is φ = 333864000.

The previous prime is 973804969. The next prime is 973805003. The reversal of 973805000 is 508379.

It is not an unprimeable number, because it can be changed into a prime (973805003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 21089 + ... + 48911.

It is an arithmetic number, because the mean of its divisors is an integer number (32595816).

Almost surely, 2^973805000 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 973805000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303832640).

973805000 is an abundant number, since it is smaller than the sum of its proper divisors (1633860280).

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

973805000 is a wasteful number, since it uses less digits than its factorization.

973805000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27856 (or 27837 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 973805000 is about 31205.8488107598. The cubic root of 973805000 is about 991.1909620415.

The spelling of 973805000 in words is "nine hundred seventy-three million, eight hundred five thousand".