97947091225 has 27 divisors (see below), whose sum is σ = 123894129079. Its totient is φ = 76814129600.

The previous prime is 97947091171. The next prime is 97947091261. The reversal of 97947091225 is 52219074979.

It is a happy number.

The square root of 97947091225 is 312965.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4063680009 + 93883411216 = 63747^2 + 306404^2 .

It is not a de Polignac number, because 97947091225 - 2⁷ = 97947091097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 82935135 + ... + 82936315.

Almost surely, 2^97947091225 is an apocalyptic number.

97947091225 is the 312965-th square number.

97947091225 is the 156483-rd centered octagonal number.

It is an amenable number.

97947091225 is a deficient number, since it is larger than the sum of its proper divisors (25947037854).

97947091225 is an frugal number, since it uses more digits than its factorization.

97947091225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 55.

The spelling of 97947091225 in words is "ninety-seven billion, nine hundred forty-seven million, ninety-one thousand, two hundred twenty-five".