97728138225 has 45 divisors (see below), whose sum is σ = 181052356507. Its totient is φ = 52114170960.

The previous prime is 97728138223. The next prime is 97728138283. The reversal of 97728138225 is 52283182779.

The square root of 97728138225 is 312615.

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

It can be written as a sum of positive squares in only one way, i.e., 35182129761 + 62546008464 = 187569^2 + 250092^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 97728138225 - 2¹ = 97728138223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97728138223) 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 44 ways as a sum of consecutive naturals, for example, 14064202 + ... + 14071148.

Almost surely, 2^97728138225 is an apocalyptic number.

97728138225 is the 312615-th square number.

97728138225 is the 156308-th centered octagonal number.

It is an amenable number.

97728138225 is a deficient number, since it is larger than the sum of its proper divisors (83324218282).

97728138225 is an frugal number, since it uses more digits than its factorization.

97728138225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13916 (or 6955 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 97728138225 in words is "ninety-seven billion, seven hundred twenty-eight million, one hundred thirty-eight thousand, two hundred twenty-five".