972509785 has 8 divisors (see below), whose sum is σ = 1256781960. Its totient is φ = 718161024.

The previous prime is 972509777. The next prime is 972509807. The reversal of 972509785 is 587905279.

It can be written as a sum of positive squares in 4 ways, for example, as 18688329 + 953821456 = 4323^2 + 30884^2 .

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 972509785 - 2³ = 972509777 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7480780 + ... + 7480909.

It is an arithmetic number, because the mean of its divisors is an integer number (157097745).

Almost surely, 2^972509785 is an apocalyptic number.

It is an amenable number.

972509785 is a deficient number, since it is larger than the sum of its proper divisors (284272175).

972509785 is a wasteful number, since it uses less digits than its factorization.

972509785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14961707.

The product of its (nonzero) digits is 1587600, while the sum is 52.

The square root of 972509785 is about 31185.0891452951. The cubic root of 972509785 is about 990.7513206347.

The spelling of 972509785 in words is "nine hundred seventy-two million, five hundred nine thousand, seven hundred eighty-five".