97980894361 has 27 divisors (see below), whose sum is σ = 115415274717. Its totient is φ = 82937514240.

The previous prime is 97980894353. The next prime is 97980894371. The reversal of 97980894361 is 16349808979.

The square root of 97980894361 is 313019.

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 5294745225 + 92686149136 = 72765^2 + 304444^2 .

It is not a de Polignac number, because 97980894361 - 2³ = 97980894353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 97980894293 and 97980894302.

It is not an unprimeable number, because it can be changed into a prime (97980894301) 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, 212539671 + ... + 212540131.

Almost surely, 2^97980894361 is an apocalyptic number.

97980894361 is the 313019-th square number.

97980894361 is the 156510-th centered octagonal number.

It is an amenable number.

97980894361 is a deficient number, since it is larger than the sum of its proper divisors (17434380356).

97980894361 is an frugal number, since it uses more digits than its factorization.

97980894361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 64.

Multiplying 97980894361 by its sum of digits (64), we get a square (6270777239104 = 2504152²).

The spelling of 97980894361 in words is "ninety-seven billion, nine hundred eighty million, eight hundred ninety-four thousand, three hundred sixty-one".