972641763 has 12 divisors (see below), whose sum is σ = 1456961688. Its totient is φ = 648427680.

The previous prime is 972641713. The next prime is 972641777. The reversal of 972641763 is 367146279.

It is not a de Polignac number, because 972641763 - 2⁹ = 972641251 is a prime.

It is not an unprimeable number, because it can be changed into a prime (972641713) 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 11 ways as a sum of consecutive naturals, for example, 2001078 + ... + 2001563.

It is an arithmetic number, because the mean of its divisors is an integer number (121413474).

Almost surely, 2^972641763 is an apocalyptic number.

972641763 is a deficient number, since it is larger than the sum of its proper divisors (484319925).

972641763 is an equidigital number, since it uses as much as digits as its factorization.

972641763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002656 (or 4002644 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 972641763 is about 31187.2051168424. The cubic root of 972641763 is about 990.7961364523.

The spelling of 972641763 in words is "nine hundred seventy-two million, six hundred forty-one thousand, seven hundred sixty-three".