97901347929121 has 27 divisors (see below), whose sum is σ = 107838477447897. Its totient is φ = 88813130736000.

The previous prime is 97901347929113. The next prime is 97901347929127. The reversal of 97901347929121 is 12192974310979.

The square root of 97901347929121 is 9894511.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7001522389521 + 90899825539600 = 2646039^2 + 9534140^2 .

It is not a de Polignac number, because 97901347929121 - 2³ = 97901347929113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97901347929127) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 95887705591 + ... + 95887706611.

Almost surely, 2^{97901347929121} is an apocalyptic number.

97901347929121 is the 9894511-st square number.

97901347929121 is the 4947256-th centered octagonal number.

It is an amenable number.

97901347929121 is a deficient number, since it is larger than the sum of its proper divisors (9937129518776).

97901347929121 is an frugal number, since it uses more digits than its factorization.

97901347929121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 64.

The spelling of 97901347929121 in words is "ninety-seven trillion, nine hundred one billion, three hundred forty-seven million, nine hundred twenty-nine thousand, one hundred twenty-one".