975273984 has 96 divisors (see below), whose sum is σ = 2818267140. Its totient is φ = 324993024.

The previous prime is 975273977. The next prime is 975274033. The reversal of 975273984 is 489372579.

975273984 is a `hidden beast` number, since 9 + 7 + 527 + 39 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 975273984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 293259 + ... + 296565.

Almost surely, 2^975273984 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 975273984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409133570).

975273984 is an abundant number, since it is smaller than the sum of its proper divisors (1842993156).

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

975273984 is an equidigital number, since it uses as much as digits as its factorization.

975273984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343 (or 3312 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 975273984 is about 31229.3769390297. The cubic root of 975273984 is about 991.6891152071.

The spelling of 975273984 in words is "nine hundred seventy-five million, two hundred seventy-three thousand, nine hundred eighty-four".