257127 has 16 divisors (see below), whose sum is σ = 389760. Its totient is φ = 149472.

The previous prime is 257123. The next prime is 257141. The reversal of 257127 is 721752.

It is not a de Polignac number, because 257127 - 2² = 257123 is a prime.

It is a super-2 number, since 2×257127² = 132228588258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257097 and 257106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568 + ... + 914.

It is an arithmetic number, because the mean of its divisors is an integer number (24360).

2²⁵⁷¹²⁷ is an apocalyptic number.

257127 is a deficient number, since it is larger than the sum of its proper divisors (132633).

257127 is a wasteful number, since it uses less digits than its factorization.

257127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382.

The product of its digits is 980, while the sum is 24.

The square root of 257127 is about 507.0769172423. The cubic root of 257127 is about 63.5890828142.

Adding to 257127 its reverse (721752), we get a palindrome (978879).

The spelling of 257127 in words is "two hundred fifty-seven thousand, one hundred twenty-seven".