972715585 has 8 divisors (see below), whose sum is σ = 1172269800. Its totient is φ = 774831744.

The previous prime is 972715559. The next prime is 972715589. The reversal of 972715585 is 585517279.

It can be written as a sum of positive squares in 4 ways, for example, as 100340289 + 872375296 = 10017^2 + 29536^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 972715585 - 2⁵ = 972715553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (972715589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416310 + ... + 418639.

It is an arithmetic number, because the mean of its divisors is an integer number (146533725).

Almost surely, 2^972715585 is an apocalyptic number.

It is an amenable number.

972715585 is a deficient number, since it is larger than the sum of its proper divisors (199554215).

972715585 is a wasteful number, since it uses less digits than its factorization.

972715585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835187.

The product of its digits is 882000, while the sum is 49.

The square root of 972715585 is about 31188.3886246148. The cubic root of 972715585 is about 990.8212024477.

The spelling of 972715585 in words is "nine hundred seventy-two million, seven hundred fifteen thousand, five hundred eighty-five".