973368252 has 240 divisors, whose sum is σ = 2897959680. Its totient is φ = 283046400.

The previous prime is 973368251. The next prime is 973368289. The reversal of 973368252 is 252863379.

973368252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (544320) is a multiple of the sum of its prime divisors (243).

It is a junction number, because it is equal to n+sod(n) for n = 973368198 and 973368207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973368251) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7430227 + ... + 7430357.

It is an arithmetic number, because the mean of its divisors is an integer number (12074832).

Almost surely, 2^973368252 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 973368252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448979840).

973368252 is an abundant number, since it is smaller than the sum of its proper divisors (1924591428).

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

973368252 is a wasteful number, since it uses less digits than its factorization.

973368252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 243 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 973368252 is about 31198.8501711201. The cubic root of 973368252 is about 991.0427580361.

The spelling of 973368252 in words is "nine hundred seventy-three million, three hundred sixty-eight thousand, two hundred fifty-two".