257093 has 2 divisors, whose sum is σ = 257094. Its totient is φ = 257092.

The previous prime is 257077. The next prime is 257099. The reversal of 257093 is 390752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174724 + 82369 = 418^2 + 287^2 .

It is a cyclic number.

It is not a de Polignac number, because 257093 - 2⁴ = 257077 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a plaindrome in base 14.

It is a zygodrome in base 3.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128546 + 128547.

It is an arithmetic number, because the mean of its divisors is an integer number (128547).

2²⁵⁷⁰⁹³ is an apocalyptic number.

It is an amenable number.

257093 is a deficient number, since it is larger than the sum of its proper divisors (1).

257093 is an equidigital number, since it uses as much as digits as its factorization.

257093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 257093 is about 507.0433906482. The cubic root of 257093 is about 63.5862798879.

The spelling of 257093 in words is "two hundred fifty-seven thousand, ninety-three".