973715032900 has 81 divisors (see below), whose sum is σ = 2136275730757. Its totient is φ = 385235008000.

The previous prime is 973715032897. The next prime is 973715032921. The reversal of 973715032900 is 9230517379.

The square root of 973715032900 is 986770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 33839074116 + 939875958784 = 183954^2 + 969472^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 996637212 + ... + 996638188.

Almost surely, 2^973715032900 is an apocalyptic number.

973715032900 is the 986770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973715032900

973715032900 is an abundant number, since it is smaller than the sum of its proper divisors (1162560697857).

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

973715032900 is an equidigital number, since it uses as much as digits as its factorization.

973715032900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 46.

The spelling of 973715032900 in words is "nine hundred seventy-three billion, seven hundred fifteen million, thirty-two thousand, nine hundred".