257223 has 8 divisors (see below), whose sum is σ = 345600. Its totient is φ = 170168.

The previous prime is 257221. The next prime is 257239. The reversal of 257223 is 322752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257223 - 2¹ = 257221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298 + ... + 776.

It is an arithmetic number, because the mean of its divisors is an integer number (43200).

2²⁵⁷²²³ is an apocalyptic number.

257223 is a deficient number, since it is larger than the sum of its proper divisors (88377).

257223 is a wasteful number, since it uses less digits than its factorization.

257223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661.

The product of its digits is 840, while the sum is 21.

The square root of 257223 is about 507.1715686038. The cubic root of 257223 is about 63.5969956257.

Adding to 257223 its reverse (322752), we get a palindrome (579975).

The spelling of 257223 in words is "two hundred fifty-seven thousand, two hundred twenty-three".