8414257 has 2 divisors, whose sum is σ = 8414258. Its totient is φ = 8414256.

The previous prime is 8414243. The next prime is 8414293. The reversal of 8414257 is 7524148.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5588496 + 2825761 = 2364^2 + 1681^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8414257 is a prime.

It is not a weakly prime, because it can be changed into another prime (8414057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4207128 + 4207129.

It is an arithmetic number, because the mean of its divisors is an integer number (4207129).

Almost surely, 2^8414257 is an apocalyptic number.

It is an amenable number.

8414257 is a deficient number, since it is larger than the sum of its proper divisors (1).

8414257 is an equidigital number, since it uses as much as digits as its factorization.

8414257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8960, while the sum is 31.

The square root of 8414257 is about 2900.7338726605. The cubic root of 8414257 is about 203.3942124136.

It can be divided in two parts, 84 and 14257, that added together give a palindrome (14341).

The spelling of 8414257 in words is "eight million, four hundred fourteen thousand, two hundred fifty-seven".