257207 has 4 divisors (see below), whose sum is σ = 265536. Its totient is φ = 248880.

The previous prime is 257189. The next prime is 257219. The reversal of 257207 is 702752.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 257207 - 2¹⁶ = 191671 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257287) 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 in 3 ways as a sum of consecutive naturals, for example, 4118 + ... + 4179.

It is an arithmetic number, because the mean of its divisors is an integer number (66384).

2²⁵⁷²⁰⁷ is an apocalyptic number.

257207 is a deficient number, since it is larger than the sum of its proper divisors (8329).

257207 is an equidigital number, since it uses as much as digits as its factorization.

257207 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8328.

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 257207 is about 507.1557946036. The cubic root of 257207 is about 63.5956769605.

Adding to 257207 its reverse (702752), we get a palindrome (959959).

It can be divided in two parts, 257 and 207, that added together give a palindrome (464).

The spelling of 257207 in words is "two hundred fifty-seven thousand, two hundred seven".