97821825 has 48 divisors (see below), whose sum is σ = 173756736. Its totient is φ = 48384000.

The previous prime is 97821817. The next prime is 97821839. The reversal of 97821825 is 52812879.

It is not a de Polignac number, because 97821825 - 2³ = 97821817 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92550 + ... + 93600.

It is an arithmetic number, because the mean of its divisors is an integer number (3619932).

Almost surely, 2^97821825 is an apocalyptic number.

It is an amenable number.

97821825 is a deficient number, since it is larger than the sum of its proper divisors (75934911).

97821825 is a wasteful number, since it uses less digits than its factorization.

97821825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1149 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The square root of 97821825 is about 9890.4916460204. The cubic root of 97821825 is about 460.7640500126.

The spelling of 97821825 in words is "ninety-seven million, eight hundred twenty-one thousand, eight hundred twenty-five".