972585289 has 16 divisors (see below), whose sum is σ = 1084088320. Its totient is φ = 866479680.

The previous prime is 972585269. The next prime is 972585301. The reversal of 972585289 is 982585279.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 972585289 - 2⁷ = 972585161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972585239) 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 15 ways as a sum of consecutive naturals, for example, 156952 + ... + 163030.

It is an arithmetic number, because the mean of its divisors is an integer number (67755520).

Almost surely, 2^972585289 is an apocalyptic number.

It is an amenable number.

972585289 is a deficient number, since it is larger than the sum of its proper divisors (111503031).

972585289 is a wasteful number, since it uses less digits than its factorization.

972585289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6520.

The product of its digits is 3628800, while the sum is 55.

The square root of 972585289 is about 31186.2997003492. The cubic root of 972585289 is about 990.7769600518.

The spelling of 972585289 in words is "nine hundred seventy-two million, five hundred eighty-five thousand, two hundred eighty-nine".