972095904 has 240 divisors, whose sum is σ = 3261851208. Its totient is φ = 281346048.

The previous prime is 972095893. The next prime is 972095911. The reversal of 972095904 is 409590279.

It can be written as a sum of positive squares in 4 ways, for example, as 951845904 + 20250000 = 30852^2 + 4500^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 972095904.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 571984 + ... + 573680.

Almost surely, 2^972095904 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 972095904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630925604).

972095904 is an abundant number, since it is smaller than the sum of its proper divisors (2289755304).

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

972095904 is a wasteful number, since it uses less digits than its factorization.

972095904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 972095904 is about 31178.4525594199. The cubic root of 972095904 is about 990.6107526125.

The spelling of 972095904 in words is "nine hundred seventy-two million, ninety-five thousand, nine hundred four".