10185257 has 2 divisors, whose sum is σ = 10185258. Its totient is φ = 10185256.

The previous prime is 10185209. The next prime is 10185269. The reversal of 10185257 is 75258101.

10185257 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., 8637721 + 1547536 = 2939^2 + 1244^2 .

It is an emirp because it is prime and its reverse (75258101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10185257 - 2⁸ = 10185001 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10185157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5092628 + 5092629.

It is an arithmetic number, because the mean of its divisors is an integer number (5092629).

Almost surely, 2^10185257 is an apocalyptic number.

It is an amenable number.

10185257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10185257 is an equidigital number, since it uses as much as digits as its factorization.

10185257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2800, while the sum is 29.

The square root of 10185257 is about 3191.4349437205. The cubic root of 10185257 is about 216.7657506047.

It can be divided in two parts, 101 and 85257, that added together give a palindrome (85358).

The spelling of 10185257 in words is "ten million, one hundred eighty-five thousand, two hundred fifty-seven".