127550385 has 48 divisors (see below), whose sum is σ = 228206160. Its totient is φ = 65863680.

The previous prime is 127550369. The next prime is 127550393. The reversal of 127550385 is 583055721.

127550385 is a `hidden beast` number, since 1 + 2 + 75 + 503 + 85 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10131489 + 117418896 = 3183^2 + 10836^2 .

It is not a de Polignac number, because 127550385 - 2⁴ = 127550369 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 474031 + ... + 474299.

It is an arithmetic number, because the mean of its divisors is an integer number (4754295).

Almost surely, 2^127550385 is an apocalyptic number.

127550385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

127550385 is a deficient number, since it is larger than the sum of its proper divisors (100655775).

127550385 is a wasteful number, since it uses less digits than its factorization.

127550385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 127550385 is about 11293.8206555620. The cubic root of 127550385 is about 503.3776449836.

The spelling of 127550385 in words is "one hundred twenty-seven million, five hundred fifty thousand, three hundred eighty-five".