97935824809 has 9 divisors (see below), whose sum is σ = 98316273783. Its totient is φ = 97556845992.

The previous prime is 97935824783. The next prime is 97935824813. The reversal of 97935824809 is 90842853979.

The square root of 97935824809 is 312947.

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., 53234025625 + 44701799184 = 230725^2 + 211428^2 .

It is not a de Polignac number, because 97935824809 - 2¹⁹ = 97935300521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97935824849) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 116728812 + ... + 116729650.

Almost surely, 2^97935824809 is an apocalyptic number.

97935824809 is the 312947-th square number.

97935824809 is the 156474-th centered octagonal number.

It is an amenable number.

97935824809 is a deficient number, since it is larger than the sum of its proper divisors (380448974).

97935824809 is an frugal number, since it uses more digits than its factorization.

97935824809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 64.

Multiplying 97935824809 by its sum of digits (64), we get a square (6267892787776 = 2503576²).

The spelling of 97935824809 in words is "ninety-seven billion, nine hundred thirty-five million, eight hundred twenty-four thousand, eight hundred nine".