972185765 has 8 divisors (see below), whose sum is σ = 1167383448. Its totient is φ = 777241600.

The previous prime is 972185737. The next prime is 972185777. The reversal of 972185765 is 567581279.

972185765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1800964 + 970384801 = 1342^2 + 31151^2 .

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

It is not a de Polignac number, because 972185765 - 2⁸ = 972185509 is a prime.

It is a Duffinian number.

It is a congruent number.

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, 54836 + ... + 70365.

It is an arithmetic number, because the mean of its divisors is an integer number (145922931).

Almost surely, 2^972185765 is an apocalyptic number.

It is an amenable number.

972185765 is a deficient number, since it is larger than the sum of its proper divisors (195197683).

972185765 is a wasteful number, since it uses less digits than its factorization.

972185765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126759.

The product of its digits is 1058400, while the sum is 50.

The square root of 972185765 is about 31179.8936014862. The cubic root of 972185765 is about 990.6412758457.

The spelling of 972185765 in words is "nine hundred seventy-two million, one hundred eighty-five thousand, seven hundred sixty-five".