257401 has 2 divisors, whose sum is σ = 257402. Its totient is φ = 257400.

The previous prime is 257399. The next prime is 257407. The reversal of 257401 is 104752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 251001 + 6400 = 501^2 + 80^2 .

It is a cyclic number.

It is not a de Polignac number, because 257401 - 2¹ = 257399 is a prime.

Together with 257399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (257407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128700 + 128701.

It is an arithmetic number, because the mean of its divisors is an integer number (128701).

2²⁵⁷⁴⁰¹ is an apocalyptic number.

It is an amenable number.

257401 is a deficient number, since it is larger than the sum of its proper divisors (1).

257401 is an equidigital number, since it uses as much as digits as its factorization.

257401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 257401 is about 507.3470212783. The cubic root of 257401 is about 63.6116620889.

The spelling of 257401 in words is "two hundred fifty-seven thousand, four hundred one".