257827249 has 3 divisors (see below), whose sum is σ = 257843307. Its totient is φ = 257811192.

The previous prime is 257827247. The next prime is 257827259. The reversal of 257827249 is 942728752.

The square root of 257827249 is 16057.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 117831025 + 139996224 = 10855^2 + 11832^2 .

It is not a de Polignac number, because 257827249 - 2¹ = 257827247 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257827199 and 257827208.

It is not an unprimeable number, because it can be changed into a prime (257827243) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 8029 + ... + 24085.

It is an arithmetic number, because the mean of its divisors is an integer number (85947769).

Almost surely, 2^257827249 is an apocalyptic number.

257827249 is the 16057-th square number.

257827249 is the 8029-th centered octagonal number.

It is an amenable number.

257827249 is a deficient number, since it is larger than the sum of its proper divisors (16058).

257827249 is an frugal number, since it uses more digits than its factorization.

257827249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32114 (or 16057 counting only the distinct ones).

The product of its digits is 564480, while the sum is 46.

The cubic root of 257827249 is about 636.4675578080.

The spelling of 257827249 in words is "two hundred fifty-seven million, eight hundred twenty-seven thousand, two hundred forty-nine".