10257893 has 2 divisors, whose sum is σ = 10257894. Its totient is φ = 10257892.

The previous prime is 10257859. The next prime is 10257899. The reversal of 10257893 is 39875201.

10257893 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., 9138529 + 1119364 = 3023^2 + 1058^2 .

It is a cyclic number.

It is not a de Polignac number, because 10257893 - 2⁶ = 10257829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10257899) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5128946 + 5128947.

It is an arithmetic number, because the mean of its divisors is an integer number (5128947).

Almost surely, 2^10257893 is an apocalyptic number.

It is an amenable number.

10257893 is a deficient number, since it is larger than the sum of its proper divisors (1).

10257893 is an equidigital number, since it uses as much as digits as its factorization.

10257893 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 10257893 is about 3202.7945610045. The cubic root of 10257893 is about 217.2798176937.

The spelling of 10257893 in words is "ten million, two hundred fifty-seven thousand, eight hundred ninety-three".