127351225 has 27 divisors (see below), whose sum is σ = 165003111. Its totient is φ = 97502400.

The previous prime is 127351223. The next prime is 127351229. The reversal of 127351225 is 522153721.

The square root of 127351225 is 11285.

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 98664489 + 28686736 = 9933^2 + 5356^2 .

It is not a de Polignac number, because 127351225 - 2¹ = 127351223 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 127351193 and 127351202.

It is not an unprimeable number, because it can be changed into a prime (127351223) 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 26 ways as a sum of consecutive naturals, for example, 2087695 + ... + 2087755.

Almost surely, 2^127351225 is an apocalyptic number.

127351225 is the 11285-th square number.

127351225 is the 5643-rd centered octagonal number.

It is an amenable number.

127351225 is a deficient number, since it is larger than the sum of its proper divisors (37651886).

127351225 is an frugal number, since it uses more digits than its factorization.

127351225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 103 counting only the distinct ones).

The product of its digits is 4200, while the sum is 28.

The cubic root of 127351225 is about 503.1155134973.

The spelling of 127351225 in words is "one hundred twenty-seven million, three hundred fifty-one thousand, two hundred twenty-five".