972121645 has 16 divisors (see below), whose sum is σ = 1273208832. Its totient is φ = 706656960.

The previous prime is 972121639. The next prime is 972121649. The reversal of 972121645 is 546121279.

972121645 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 972121645 - 2¹¹ = 972119597 is a prime.

It is a super-3 number, since 3×972121645³ (a number of 28 digits) contains 333 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 (972121649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194599 + ... + 199531.

It is an arithmetic number, because the mean of its divisors is an integer number (79575552).

Almost surely, 2^972121645 is an apocalyptic number.

It is an amenable number.

972121645 is a deficient number, since it is larger than the sum of its proper divisors (301087187).

972121645 is a wasteful number, since it uses less digits than its factorization.

972121645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8532.

The product of its digits is 30240, while the sum is 37.

The square root of 972121645 is about 31178.8653578029. The cubic root of 972121645 is about 990.6194962924.

The spelling of 972121645 in words is "nine hundred seventy-two million, one hundred twenty-one thousand, six hundred forty-five".