257203 has 4 divisors (see below), whose sum is σ = 270760. Its totient is φ = 243648.

The previous prime is 257189. The next prime is 257219. The reversal of 257203 is 302752.

It is a happy number.

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 257203 - 2⁵ = 257171 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19), and also a Moran number because the ratio is a prime number: 13537 = 257203 / (2 + 5 + 7 + 2 + 0 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257263) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6750 + ... + 6787.

It is an arithmetic number, because the mean of its divisors is an integer number (67690).

2²⁵⁷²⁰³ is an apocalyptic number.

257203 is a deficient number, since it is larger than the sum of its proper divisors (13557).

257203 is a wasteful number, since it uses less digits than its factorization.

257203 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13556.

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 257203 is about 507.1518510269. The cubic root of 257203 is about 63.5953472857.

Adding to 257203 its reverse (302752), we get a palindrome (559955).

The spelling of 257203 in words is "two hundred fifty-seven thousand, two hundred three".