1002257 has 2 divisors, whose sum is σ = 1002258. Its totient is φ = 1002256.

The previous prime is 1002247. The next prime is 1002259. The reversal of 1002257 is 7522001.

1002257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1002001 + 256 = 1001^2 + 16^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002257 - 2⁴ = 1002241 is a prime.

Together with 1002259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1002259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501128 + 501129.

It is an arithmetic number, because the mean of its divisors is an integer number (501129).

2^1002257 is an apocalyptic number.

It is an amenable number.

1002257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002257 is an equidigital number, since it uses as much as digits as its factorization.

1002257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 1002257 is about 1001.1278639614. The cubic root of 1002257 is about 100.0751768037.

Adding to 1002257 its reverse (7522001), we get a palindrome (8524258).

The spelling of 1002257 in words is "one million, two thousand, two hundred fifty-seven".