973141641 has 32 divisors (see below), whose sum is σ = 1460480000. Its totient is φ = 640365264.

The previous prime is 973141607. The next prime is 973141667. The reversal of 973141641 is 146141379.

973141641 is a `hidden beast` number, since 9 + 7 + 3 + 1 + 4 + 1 + 641 = 666.

It is not a de Polignac number, because 973141641 - 2⁶ = 973141577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 973141596 and 973141605.

It is not an unprimeable number, because it can be changed into a prime (973142641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 746196 + ... + 747498.

It is an arithmetic number, because the mean of its divisors is an integer number (45640000).

Almost surely, 2^973141641 is an apocalyptic number.

It is an amenable number.

973141641 is a deficient number, since it is larger than the sum of its proper divisors (487338359).

973141641 is a wasteful number, since it uses less digits than its factorization.

973141641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1644 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 973141641 is about 31195.2182393392. The cubic root of 973141641 is about 990.9658434595.

The spelling of 973141641 in words is "nine hundred seventy-three million, one hundred forty-one thousand, six hundred forty-one".