973847828748379 has 8 divisors (see below), whose sum is σ = 1056764995613712. Its totient is φ = 892074346943520.

The previous prime is 973847828748349. The next prime is 973847828748413.

973847828748379 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-973847828748379 is a prime.

It is a super-2 number, since 2×973847828748379² (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (973847828748349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285921263344 + ... + 285921266749.

It is an arithmetic number, because the mean of its divisors is an integer number (132095624451714).

Almost surely, 2^{973847828748379} is an apocalyptic number.

973847828748379 is a deficient number, since it is larger than the sum of its proper divisors (82917166865333).

973847828748379 is a wasteful number, since it uses less digits than its factorization.

973847828748379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571842530237.

The product of its digits is 229419122688, while the sum is 94.

The spelling of 973847828748379 in words is "nine hundred seventy-three trillion, eight hundred forty-seven billion, eight hundred twenty-eight million, seven hundred forty-eight thousand, three hundred seventy-nine".