10029857 has 2 divisors, whose sum is σ = 10029858. Its totient is φ = 10029856.

The previous prime is 10029839. The next prime is 10029883. The reversal of 10029857 is 75892001.

10029857 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5740816 + 4289041 = 2396^2 + 2071^2 .

It is an emirp because it is prime and its reverse (75892001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10029857 - 2¹⁴ = 10013473 is a prime.

It is not a weakly prime, because it can be changed into another prime (10029827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5014928 + 5014929.

It is an arithmetic number, because the mean of its divisors is an integer number (5014929).

Almost surely, 2^10029857 is an apocalyptic number.

It is an amenable number.

10029857 is a deficient number, since it is larger than the sum of its proper divisors (1).

10029857 is an equidigital number, since it uses as much as digits as its factorization.

10029857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 10029857 is about 3166.9949478962. The cubic root of 10029857 is about 215.6576724838.

Adding to 10029857 its sum of digits (32), we get a square (10029889 = 3167²).

The spelling of 10029857 in words is "ten million, twenty-nine thousand, eight hundred fifty-seven".