972118845 has 48 divisors (see below), whose sum is σ = 1756909440. Its totient is φ = 496798848.

The previous prime is 972118799. The next prime is 972118853. The reversal of 972118845 is 548811279.

It is not a de Polignac number, because 972118845 - 2⁹ = 972118333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 972118845.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 97816 + ... + 107294.

It is an arithmetic number, because the mean of its divisors is an integer number (36602280).

Almost surely, 2^972118845 is an apocalyptic number.

It is an amenable number.

972118845 is a deficient number, since it is larger than the sum of its proper divisors (784790595).

972118845 is a wasteful number, since it uses less digits than its factorization.

972118845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9586 (or 9583 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 972118845 is about 31178.8204555593. The cubic root of 972118845 is about 990.6185451984.

The spelling of 972118845 in words is "nine hundred seventy-two million, one hundred eighteen thousand, eight hundred forty-five".