257303823 has 32 divisors (see below), whose sum is σ = 425295360. Its totient is φ = 134999040.

The previous prime is 257303821. The next prime is 257303831. The reversal of 257303823 is 328303752.

It is not a de Polignac number, because 257303823 - 2¹ = 257303821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257303821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5848 + ... + 23426.

It is an arithmetic number, because the mean of its divisors is an integer number (13290480).

Almost surely, 2^257303823 is an apocalyptic number.

257303823 is a deficient number, since it is larger than the sum of its proper divisors (167991537).

257303823 is a wasteful number, since it uses less digits than its factorization.

257303823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17647.

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 257303823 is about 16040.6927219494. The cubic root of 257303823 is about 636.0365594466.

The spelling of 257303823 in words is "two hundred fifty-seven million, three hundred three thousand, eight hundred twenty-three".