10002257 has 2 divisors, whose sum is σ = 10002258. Its totient is φ = 10002256.

The previous prime is 10002203. The next prime is 10002259. The reversal of 10002257 is 75220001.

10002257 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., 8386816 + 1615441 = 2896^2 + 1271^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002257 - 2¹⁸ = 9740113 is a prime.

Together with 10002259, 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 (10002259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001128 + 5001129.

It is an arithmetic number, because the mean of its divisors is an integer number (5001129).

Almost surely, 2^10002257 is an apocalyptic number.

It is an amenable number.

10002257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002257 is an equidigital number, since it uses as much as digits as its factorization.

10002257 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 10002257 is about 3162.6345030686. The cubic root of 10002257 is about 215.4596763142.

Adding to 10002257 its reverse (75220001), we get a palindrome (85222258).

The spelling of 10002257 in words is "ten million, two thousand, two hundred fifty-seven".