97840712025 has 189 divisors, whose sum is σ = 212239757583. Its totient is φ = 44592055200.

The previous prime is 97840712003. The next prime is 97840712089. The reversal of 97840712025 is 52021704879.

It is a happy number.

The square root of 97840712025 is 312795.

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., 35222656329 + 62618055696 = 187677^2 + 250236^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 97840712025 - 2⁷ = 97840711897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 188 ways as a sum of consecutive naturals, for example, 295591110 + ... + 295591440.

Almost surely, 2^97840712025 is an apocalyptic number.

97840712025 is the 312795-th square number.

97840712025 is the 156398-th centered octagonal number.

It is an amenable number.

97840712025 is an abundant number, since it is smaller than the sum of its proper divisors (114399045558).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97840712025 is an frugal number, since it uses more digits than its factorization.

97840712025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 97840712025 in words is "ninety-seven billion, eight hundred forty million, seven hundred twelve thousand, twenty-five".