8284257 has 6 divisors (see below), whose sum is σ = 11966162. Its totient is φ = 5522832.

The previous prime is 8284231. The next prime is 8284273. The reversal of 8284257 is 7524828.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8242641 + 41616 = 2871^2 + 204^2 .

It is not a de Polignac number, because 8284257 - 2⁶ = 8284193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8284207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 460228 + ... + 460245.

Almost surely, 2^8284257 is an apocalyptic number.

It is an amenable number.

8284257 is a deficient number, since it is larger than the sum of its proper divisors (3681905).

8284257 is a wasteful number, since it uses less digits than its factorization.

8284257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920479 (or 920476 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 8284257 is about 2878.2385238197. The cubic root of 8284257 is about 202.3412931148.

It can be divided in two parts, 828425 and 7, that multiplied together give a palindrome (5798975).

The spelling of 8284257 in words is "eight million, two hundred eighty-four thousand, two hundred fifty-seven".