972775296 has 192 divisors, whose sum is σ = 2893862400. Its totient is φ = 313528320.

The previous prime is 972775291. The next prime is 972775313. The reversal of 972775296 is 692577279.

972775296 is a `hidden beast` number, since 97 + 27 + 7 + 529 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972775291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7659585 + ... + 7659711.

It is an arithmetic number, because the mean of its divisors is an integer number (15072200).

Almost surely, 2^972775296 is an apocalyptic number.

972775296 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 972775296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446931200).

972775296 is an abundant number, since it is smaller than the sum of its proper divisors (1921087104).

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

972775296 is a wasteful number, since it uses less digits than its factorization.

972775296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 302 counting only the distinct ones).

The product of its digits is 3333960, while the sum is 54.

The square root of 972775296 is about 31189.3458732305. The cubic root of 972775296 is about 990.8414761760.

The spelling of 972775296 in words is "nine hundred seventy-two million, seven hundred seventy-five thousand, two hundred ninety-six".