197824225 has 27 divisors (see below), whose sum is σ = 256698507. Its totient is φ = 151226880.

The previous prime is 197824213. The next prime is 197824243. The reversal of 197824225 is 522428791.

The square root of 197824225 is 14065.

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 131629729 + 66194496 = 11473^2 + 8136^2 .

It is not a de Polignac number, because 197824225 - 2⁷ = 197824097 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, 2039377 + ... + 2039473.

Almost surely, 2^197824225 is an apocalyptic number.

197824225 is the 14065-th square number.

197824225 is the 7033-rd centered octagonal number.

It is an amenable number.

197824225 is a deficient number, since it is larger than the sum of its proper divisors (58874282).

197824225 is an frugal number, since it uses more digits than its factorization.

197824225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 131 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The cubic root of 197824225 is about 582.6751424318.

The spelling of 197824225 in words is "one hundred ninety-seven million, eight hundred twenty-four thousand, two hundred twenty-five".