257114 has 32 divisors (see below), whose sum is σ = 483840. Its totient is φ = 100800.

The previous prime is 257107. The next prime is 257123. The reversal of 257114 is 411752.

It is a super-2 number, since 2×257114² = 132215217992, which contains 22 as substring.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8279 + ... + 8309.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2²⁵⁷¹¹⁴ is an apocalyptic number.

257114 is a deficient number, since it is larger than the sum of its proper divisors (226726).

257114 is a wasteful number, since it uses less digits than its factorization.

257114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86.

The product of its digits is 280, while the sum is 20.

The square root of 257114 is about 507.0640985122. The cubic root of 257114 is about 63.5880111363.

Adding to 257114 its reverse (411752), we get a palindrome (668866).

The spelling of 257114 in words is "two hundred fifty-seven thousand, one hundred fourteen".