972315125 has 12 divisors (see below), whose sum is σ = 1213884516. Its totient is φ = 777573200.

The previous prime is 972315107. The next prime is 972315163. The reversal of 972315125 is 521513279.

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 6 ways, for example, as 203861284 + 768453841 = 14278^2 + 27721^2 .

It is not a de Polignac number, because 972315125 - 2²² = 968120821 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 347231 + ... + 350019.

It is an arithmetic number, because the mean of its divisors is an integer number (101157043).

Almost surely, 2^972315125 is an apocalyptic number.

It is an amenable number.

972315125 is a deficient number, since it is larger than the sum of its proper divisors (241569391).

972315125 is an frugal number, since it uses more digits than its factorization.

972315125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5593 (or 2794 counting only the distinct ones).

The product of its digits is 18900, while the sum is 35.

The square root of 972315125 is about 31181.9679462346. The cubic root of 972315125 is about 990.6852124665.

The spelling of 972315125 in words is "nine hundred seventy-two million, three hundred fifteen thousand, one hundred twenty-five".