972896625 has 48 divisors (see below), whose sum is σ = 1782685008. Its totient is φ = 510336000.

The previous prime is 972896609. The next prime is 972896627. The reversal of 972896625 is 526698279.

972896625 is a `hidden beast` number, since 9 + 7 + 2 + 8 + 9 + 6 + 625 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 264485169 + 708411456 = 16263^2 + 26616^2 .

It is not a de Polignac number, because 972896625 - 2⁴ = 972896609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (972896627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61537 + ... + 75713.

It is an arithmetic number, because the mean of its divisors is an integer number (37139271).

Almost surely, 2^972896625 is an apocalyptic number.

It is an amenable number.

972896625 is a deficient number, since it is larger than the sum of its proper divisors (809788383).

972896625 is a wasteful number, since it uses less digits than its factorization.

972896625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14259 (or 14246 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 972896625 is about 31191.2908517746. The cubic root of 972896625 is about 990.8826685624.

The spelling of 972896625 in words is "nine hundred seventy-two million, eight hundred ninety-six thousand, six hundred twenty-five".