257707 has 2 divisors, whose sum is σ = 257708. Its totient is φ = 257706.

The previous prime is 257689. The next prime is 257711. The reversal of 257707 is 707752.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257707 - 2¹¹ = 255659 is a prime.

It is a Chen prime.

It is a plaindrome in base 11.

It is not a weakly prime, because it can be changed into another prime (257717) 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, 128853 + 128854.

It is an arithmetic number, because the mean of its divisors is an integer number (128854).

2²⁵⁷⁷⁰⁷ is an apocalyptic number.

257707 is a deficient number, since it is larger than the sum of its proper divisors (1).

257707 is an equidigital number, since it uses as much as digits as its factorization.

257707 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 257707 is about 507.6485004410. The cubic root of 257707 is about 63.6368594272.

The spelling of 257707 in words is "two hundred fifty-seven thousand, seven hundred seven".