257823 has 12 divisors (see below), whose sum is σ = 386568. Its totient is φ = 171720.

The previous prime is 257797. The next prime is 257837. The reversal of 257823 is 328752.

It is not a de Polignac number, because 257823 - 2⁵ = 257791 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288 + ... + 773.

It is an arithmetic number, because the mean of its divisors is an integer number (32214).

2²⁵⁷⁸²³ is an apocalyptic number.

257823 is a deficient number, since it is larger than the sum of its proper divisors (128745).

257823 is an equidigital number, since it uses as much as digits as its factorization.

257823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1064 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 257823 is about 507.7627398697. The cubic root of 257823 is about 63.6464061455.

It can be divided in two parts, 2578 and 23, that added together give a square (2601 = 51²).

The spelling of 257823 in words is "two hundred fifty-seven thousand, eight hundred twenty-three".