972785759 has 16 divisors (see below), whose sum is σ = 1137300480. Its totient is φ = 823030560.

The previous prime is 972785719. The next prime is 972785761. The reversal of 972785759 is 957587279.

It is not a de Polignac number, because 972785759 - 2¹⁶ = 972720223 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 972785698 and 972785707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972785719) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 42599 + ... + 61320.

It is an arithmetic number, because the mean of its divisors is an integer number (71081280).

Almost surely, 2^972785759 is an apocalyptic number.

972785759 is a deficient number, since it is larger than the sum of its proper divisors (164514721).

972785759 is a wasteful number, since it uses less digits than its factorization.

972785759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103990.

The product of its digits is 11113200, while the sum is 59.

The square root of 972785759 is about 31189.5136063389. The cubic root of 972785759 is about 990.8450286021.

The spelling of 972785759 in words is "nine hundred seventy-two million, seven hundred eighty-five thousand, seven hundred fifty-nine".