127557 has 6 divisors (see below), whose sum is σ = 184262. Its totient is φ = 85032.

The previous prime is 127549. The next prime is 127579. The reversal of 127557 is 755721.

It can be written as a sum of positive squares in only one way, i.e., 123201 + 4356 = 351^2 + 66^2 .

It is not a de Polignac number, because 127557 - 2³ = 127549 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 127557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127507) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7078 + ... + 7095.

2¹²⁷⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

127557 is a deficient number, since it is larger than the sum of its proper divisors (56705).

127557 is a wasteful number, since it uses less digits than its factorization.

127557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14179 (or 14176 counting only the distinct ones).

The product of its digits is 2450, while the sum is 27.

The square root of 127557 is about 357.1512284733. The cubic root of 127557 is about 50.3386346867.

It can be divided in two parts, 12 and 7557, that added together give a square (7569 = 87²).

The spelling of 127557 in words is "one hundred twenty-seven thousand, five hundred fifty-seven".