257077 has 2 divisors, whose sum is σ = 257078. Its totient is φ = 257076.

The previous prime is 257069. The next prime is 257093. The reversal of 257077 is 770752.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 239121 + 17956 = 489^2 + 134^2 .

It is a cyclic number.

It is not a de Polignac number, because 257077 - 2³ = 257069 is a prime.

257077 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257017) 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, 128538 + 128539.

It is an arithmetic number, because the mean of its divisors is an integer number (128539).

2²⁵⁷⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

257077 is a deficient number, since it is larger than the sum of its proper divisors (1).

257077 is an equidigital number, since it uses as much as digits as its factorization.

257077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3430, while the sum is 28.

The square root of 257077 is about 507.0276126603. The cubic root of 257077 is about 63.5849607782.

Subtracting from 257077 its sum of digits (28), we obtain a square (257049 = 507²).

The spelling of 257077 in words is "two hundred fifty-seven thousand, seventy-seven".