973944972 has 486 divisors, whose sum is σ = 3534899004. Its totient is φ = 233513280.

The previous prime is 973944941. The next prime is 973945001. The reversal of 973944972 is 279449379.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (486).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (3429216) is a multiple of the sum of its prime divisors (36).

It is an unprimeable number.

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 161 ways as a sum of consecutive naturals, for example, 74918838 + ... + 74918850.

Almost surely, 2^973944972 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 973944972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767449502).

973944972 is an abundant number, since it is smaller than the sum of its proper divisors (2560954032).

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

973944972 is a wasteful number, since it uses less digits than its factorization.

973944972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 36 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 973944972 is about 31208.0914507760. The cubic root of 973944972 is about 991.2384501028.

The spelling of 973944972 in words is "nine hundred seventy-three million, nine hundred forty-four thousand, nine hundred seventy-two".