972896825 has 36 divisors (see below), whose sum is σ = 1296340020. Its totient is φ = 724303360.

The previous prime is 972896819. The next prime is 972896863. The reversal of 972896825 is 528698279.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 18 ways, for example, as 850772224 + 122124601 = 29168^2 + 11051^2 .

It is not a de Polignac number, because 972896825 - 2⁴ = 972896809 is a prime.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 10931381 + ... + 10931469.

It is an arithmetic number, because the mean of its divisors is an integer number (36009445).

Almost surely, 2^972896825 is an apocalyptic number.

It is an amenable number.

972896825 is a deficient number, since it is larger than the sum of its proper divisors (323443195).

972896825 is an frugal number, since it uses more digits than its factorization.

972896825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 111 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 56.

The square root of 972896825 is about 31191.2940577976. The cubic root of 972896825 is about 990.8827364615.

The spelling of 972896825 in words is "nine hundred seventy-two million, eight hundred ninety-six thousand, eight hundred twenty-five".