97982825 has 24 divisors (see below), whose sum is σ = 125747160. Its totient is φ = 75686400.

The previous prime is 97982813. The next prime is 97982839. The reversal of 97982825 is 52828979.

It can be written as a sum of positive squares in 12 ways, for example, as 24760576 + 73222249 = 4976^2 + 8557^2 .

It is not a de Polignac number, because 97982825 - 2⁸ = 97982569 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111287 + ... + 112163.

It is an arithmetic number, because the mean of its divisors is an integer number (5239465).

Almost surely, 2^97982825 is an apocalyptic number.

It is an amenable number.

97982825 is a deficient number, since it is larger than the sum of its proper divisors (27764335).

97982825 is a wasteful number, since it uses less digits than its factorization.

97982825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1032 counting only the distinct ones).

The product of its digits is 725760, while the sum is 50.

The square root of 97982825 is about 9898.6274301036. The cubic root of 97982825 is about 461.0166942162.

The spelling of 97982825 in words is "ninety-seven million, nine hundred eighty-two thousand, eight hundred twenty-five".