97819992379201 has 9 divisors (see below), whose sum is σ = 98229962239203. Its totient is φ = 97411726598880.

The previous prime is 97819992379189. The next prime is 97819992379217. The reversal of 97819992379201 is 10297329991879.

The square root of 97819992379201 is 9890399.

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

It can be written as a sum of positive squares in only one way, i.e., 73567519276801 + 24252473102400 = 8577151^2 + 4924680^2 .

It is not a de Polignac number, because 97819992379201 - 2¹¹ = 97819992377153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97819992379231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2383565640 + ... + 2383606678.

Almost surely, 2^{97819992379201} is an apocalyptic number.

97819992379201 is the 9890399-th square number.

97819992379201 is the 4945200-th centered octagonal number.

It is an amenable number.

97819992379201 is a deficient number, since it is larger than the sum of its proper divisors (409969860002).

97819992379201 is an frugal number, since it uses more digits than its factorization.

97819992379201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82560 (or 41280 counting only the distinct ones).

The product of its (nonzero) digits is 277766496, while the sum is 76.

The spelling of 97819992379201 in words is "ninety-seven trillion, eight hundred nineteen billion, nine hundred ninety-two million, three hundred seventy-nine thousand, two hundred one".