972815892181 has 16 divisors (see below), whose sum is σ = 1114691773824. Its totient is φ = 831668359104.

The previous prime is 972815892179. The next prime is 972815892187. The reversal of 972815892181 is 181298518279.

It is a cyclic number.

It is not a de Polignac number, because 972815892181 - 2¹ = 972815892179 is a prime.

It is a super-2 number, since 2×972815892181² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972815892187) 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, 4076931 + ... + 4308943.

It is an arithmetic number, because the mean of its divisors is an integer number (69668235864).

Almost surely, 2^972815892181 is an apocalyptic number.

It is an amenable number.

972815892181 is a deficient number, since it is larger than the sum of its proper divisors (141875881643).

972815892181 is a wasteful number, since it uses less digits than its factorization.

972815892181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233580.

The product of its digits is 5806080, while the sum is 61.

The spelling of 972815892181 in words is "nine hundred seventy-two billion, eight hundred fifteen million, eight hundred ninety-two thousand, one hundred eighty-one".