97743305349 has 12 divisors (see below), whose sum is σ = 149489761356. Its totient is φ = 61329132672.

The previous prime is 97743305347. The next prime is 97743305351. The reversal of 97743305349 is 94350334779.

97743305349 is a `hidden beast` number, since 9 + 7 + 74 + 3 + 30 + 534 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (97743305347) and next prime (97743305351).

It can be written as a sum of positive squares in 2 ways, for example, as 82933632324 + 14809673025 = 287982^2 + 121695^2 .

It is not a de Polignac number, because 97743305349 - 2¹ = 97743305347 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 97743305295 and 97743305304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97743305347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 319422414 + ... + 319422719.

It is an arithmetic number, because the mean of its divisors is an integer number (12457480113).

Almost surely, 2^97743305349 is an apocalyptic number.

It is an amenable number.

97743305349 is a deficient number, since it is larger than the sum of its proper divisors (51746456007).

97743305349 is a wasteful number, since it uses less digits than its factorization.

97743305349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638845156 (or 638845153 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 54.

The spelling of 97743305349 in words is "ninety-seven billion, seven hundred forty-three million, three hundred five thousand, three hundred forty-nine".