97820125 has 32 divisors (see below), whose sum is σ = 139243104. Its totient is φ = 67968000.

The previous prime is 97820123. The next prime is 97820131. The reversal of 97820125 is 52102879.

It can be written as a sum of positive squares in 16 ways, for example, as 76632516 + 21187609 = 8754^2 + 4603^2 .

It is not a de Polignac number, because 97820125 - 2¹ = 97820123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97820123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25855 + ... + 29395.

It is an arithmetic number, because the mean of its divisors is an integer number (4351347).

Almost surely, 2^97820125 is an apocalyptic number.

It is an amenable number.

97820125 is a deficient number, since it is larger than the sum of its proper divisors (41422979).

97820125 is a wasteful number, since it uses less digits than its factorization.

97820125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 97820125 is about 9890.4057045199. The cubic root of 97820125 is about 460.7613808625.

The spelling of 97820125 in words is "ninety-seven million, eight hundred twenty thousand, one hundred twenty-five".