8257 has 4 divisors (see below), whose sum is σ = 8640. Its totient is φ = 7876.

The previous prime is 8243. The next prime is 8263. The reversal of 8257 is 7528.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8257 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a pancake number, because a pancake can be divided into 8257 parts by 128 straight cuts.

It is a Duffinian number.

8257 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 157 + ... + 202.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

2⁸²⁵⁷ is an apocalyptic number.

It is an amenable number.

8257 is a deficient number, since it is larger than the sum of its proper divisors (383).

8257 is a wasteful number, since it uses less digits than its factorization.

8257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382.

The product of its digits is 560, while the sum is 22.

The square root of 8257 is about 90.8680361843. The cubic root of 8257 is about 20.2119133724.

Subtracting from 8257 its reverse (7528), we obtain a 6-th power (729 = 3⁶).

It can be divided in two parts, 825 and 7, that multiplied together give a palindrome (5775).

The spelling of 8257 in words is "eight thousand, two hundred fifty-seven".