97620628249 has 9 divisors (see below), whose sum is σ = 103706448447. Its totient is φ = 91873239264.

The previous prime is 97620628241. The next prime is 97620628297. The reversal of 97620628249 is 94282602679.

The square root of 97620628249 is 312443.

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., 76002219225 + 21618409024 = 275685^2 + 147032^2 .

It is not a de Polignac number, because 97620628249 - 2³ = 97620628241 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 97620628249.

It is not an unprimeable number, because it can be changed into a prime (97620628241) 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, 5302342 + ... + 5320720.

Almost surely, 2^97620628249 is an apocalyptic number.

97620628249 is the 312443-rd square number.

97620628249 is the 156222-nd centered octagonal number.

It is an amenable number.

97620628249 is a deficient number, since it is larger than the sum of its proper divisors (6085820198).

97620628249 is an frugal number, since it uses more digits than its factorization.

97620628249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36792 (or 18396 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 97620628249 in words is "ninety-seven billion, six hundred twenty million, six hundred twenty-eight thousand, two hundred forty-nine".