97942083849 has 63 divisors (see below), whose sum is σ = 149937052503. Its totient is φ = 63948381552.

The previous prime is 97942083809. The next prime is 97942083851. The reversal of 97942083849 is 94838024979.

The square root of 97942083849 is 312957.

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

97942083849 is a `hidden beast` number, since 97 + 9 + 420 + 83 + 8 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89093295225 + 8848788624 = 298485^2 + 94068^2 .

It is not a de Polignac number, because 97942083849 - 2¹⁹ = 97941559561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (97942083809) 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 62 ways as a sum of consecutive naturals, for example, 566139127 + ... + 566139299.

Almost surely, 2^97942083849 is an apocalyptic number.

97942083849 is the 312957-th square number.

97942083849 is the 156479-th centered octagonal number.

It is an amenable number.

97942083849 is a deficient number, since it is larger than the sum of its proper divisors (51994968654).

97942083849 is an frugal number, since it uses more digits than its factorization.

97942083849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 97942083849 in words is "ninety-seven billion, nine hundred forty-two million, eighty-three thousand, eight hundred forty-nine".