1008257 has 2 divisors, whose sum is σ = 1008258. Its totient is φ = 1008256.

The previous prime is 1008247. The next prime is 1008263. The reversal of 1008257 is 7528001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 929296 + 78961 = 964^2 + 281^2 .

It is a cyclic number.

It is not a de Polignac number, because 1008257 - 2⁶ = 1008193 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1008247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504128 + 504129.

It is an arithmetic number, because the mean of its divisors is an integer number (504129).

2^1008257 is an apocalyptic number.

It is an amenable number.

1008257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1008257 is an equidigital number, since it uses as much as digits as its factorization.

1008257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 1008257 is about 1004.1200127475. The cubic root of 1008257 is about 100.2744792554.

The spelling of 1008257 in words is "one million, eight thousand, two hundred fifty-seven".