973389312 has 300 divisors, whose sum is σ = 3386702880. Its totient is φ = 277530624.

The previous prime is 973389311. The next prime is 973389353. The reversal of 973389312 is 213983379.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973389311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2031889 + ... + 2032367.

Almost surely, 2^973389312 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 973389312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693351440).

973389312 is an abundant number, since it is smaller than the sum of its proper divisors (2413313568).

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

973389312 is an equidigital number, since it uses as much as digits as its factorization.

973389312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 491 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 973389312 is about 31199.1876817330. The cubic root of 973389312 is about 991.0499054543.

The spelling of 973389312 in words is "nine hundred seventy-three million, three hundred eighty-nine thousand, three hundred twelve".