257123 has 2 divisors, whose sum is σ = 257124. Its totient is φ = 257122.

The previous prime is 257107. The next prime is 257141. The reversal of 257123 is 321752.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 257123 - 2⁴ = 257107 is a prime.

It is a super-2 number, since 2×257123² = 132224474258, which contains 22 as substring.

It is a Sophie Germain prime.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 257095 and 257104.

It is not a weakly prime, because it can be changed into another prime (250123) by changing a digit.

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 as a sum of consecutive naturals, namely, 128561 + 128562.

It is an arithmetic number, because the mean of its divisors is an integer number (128562).

2²⁵⁷¹²³ is an apocalyptic number.

257123 is a deficient number, since it is larger than the sum of its proper divisors (1).

257123 is an equidigital number, since it uses as much as digits as its factorization.

257123 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 420, while the sum is 20.

The square root of 257123 is about 507.0729730522. The cubic root of 257123 is about 63.5887530710.

Adding to 257123 its reverse (321752), we get a palindrome (578875).

The spelling of 257123 in words is "two hundred fifty-seven thousand, one hundred twenty-three".