257216 has 14 divisors (see below), whose sum is σ = 510540. Its totient is φ = 128576.

The previous prime is 257189. The next prime is 257219. The reversal of 257216 is 612752.

257216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 257191 and 257200.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257216.

It is not an unprimeable number, because it can be changed into a prime (257219) by changing a digit.

257216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1946 + ... + 2073.

2²⁵⁷²¹⁶ is an apocalyptic number.

It is an amenable number.

257216 is a deficient number, since it is larger than the sum of its proper divisors (253324).

257216 is an equidigital number, since it uses as much as digits as its factorization.

257216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031 (or 4021 counting only the distinct ones).

The product of its digits is 840, while the sum is 23.

The square root of 257216 is about 507.1646675391. The cubic root of 257216 is about 63.5964187164.

Adding to 257216 its reverse (612752), we get a palindrome (869968).

The spelling of 257216 in words is "two hundred fifty-seven thousand, two hundred sixteen".