127057 has 6 divisors (see below), whose sum is σ = 147858. Its totient is φ = 108864.

The previous prime is 127051. The next prime is 127079. The reversal of 127057 is 750721.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 14161 = 336^2 + 119^2 .

It is a de Polignac number, because none of the positive numbers 2^k-127057 is a prime.

It is a super-2 number, since 2×127057² = 32286962498, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127051) 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, 1248 + ... + 1345.

It is an arithmetic number, because the mean of its divisors is an integer number (24643).

2¹²⁷⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

127057 is a deficient number, since it is larger than the sum of its proper divisors (20801).

127057 is an equidigital number, since it uses as much as digits as its factorization.

127057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 127057 is about 356.4505575813. The cubic root of 127057 is about 50.2727758274.

Adding to 127057 its reverse (750721), we get a palindrome (877778).

It can be divided in two parts, 1270 and 57, that multiplied together give a triangular number (72390 = T₃₈₀).

The spelling of 127057 in words is "one hundred twenty-seven thousand, fifty-seven".