973825216 has 84 divisors (see below), whose sum is σ = 2420953248. Its totient is φ = 385233408.

The previous prime is 973825207. The next prime is 973825219. The reversal of 973825216 is 612528379.

It is not an unprimeable number, because it can be changed into a prime (973825219) 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, 28825 + ... + 52711.

It is an arithmetic number, because the mean of its divisors is an integer number (28820872).

Almost surely, 2^973825216 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 973825216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210476624).

973825216 is an abundant number, since it is smaller than the sum of its proper divisors (1447128032).

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

973825216 is a wasteful number, since it uses less digits than its factorization.

973825216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23926 (or 23909 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The square root of 973825216 is about 31206.1727227163. The cubic root of 973825216 is about 991.1978209705.

The spelling of 973825216 in words is "nine hundred seventy-three million, eight hundred twenty-five thousand, two hundred sixteen".