97813672801 has 24 divisors (see below), whose sum is σ = 109630644480. Its totient is φ = 87126975936.

The previous prime is 97813672783. The next prime is 97813672829. The reversal of 97813672801 is 10827631879.

It is not a de Polignac number, because 97813672801 - 2¹¹ = 97813670753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97813672861) 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 23 ways as a sum of consecutive naturals, for example, 10811986 + ... + 10821028.

It is an arithmetic number, because the mean of its divisors is an integer number (4567943520).

Almost surely, 2^97813672801 is an apocalyptic number.

It is an amenable number.

97813672801 is a deficient number, since it is larger than the sum of its proper divisors (11816971679).

97813672801 is a wasteful number, since it uses less digits than its factorization.

97813672801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11305 (or 11292 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 52.

The spelling of 97813672801 in words is "ninety-seven billion, eight hundred thirteen million, six hundred seventy-two thousand, eight hundred one".