972297216 has 352 divisors, whose sum is σ = 3301401600. Its totient is φ = 279797760.

The previous prime is 972297197. The next prime is 972297281. The reversal of 972297216 is 612792279.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6994875 + ... + 6995013.

Almost surely, 2^972297216 is an apocalyptic number.

972297216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972297216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650700800).

972297216 is an abundant number, since it is smaller than the sum of its proper divisors (2329104384).

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

972297216 is a wasteful number, since it uses less digits than its factorization.

972297216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 178 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 972297216 is about 31181.6807757375. The cubic root of 972297216 is about 990.6791299768.

The spelling of 972297216 in words is "nine hundred seventy-two million, two hundred ninety-seven thousand, two hundred sixteen".