10021857 has 32 divisors (see below), whose sum is σ = 14971392. Its totient is φ = 5935104.

The previous prime is 10021853. The next prime is 10021877. The reversal of 10021857 is 75812001.

10021857 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10021857 - 2² = 10021853 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10021853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88633 + ... + 88745.

It is an arithmetic number, because the mean of its divisors is an integer number (467856).

Almost surely, 2^10021857 is an apocalyptic number.

10021857 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10021857 is a deficient number, since it is larger than the sum of its proper divisors (4949535).

10021857 is a wasteful number, since it uses less digits than its factorization.

10021857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217.

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 10021857 is about 3165.7316689827. The cubic root of 10021857 is about 215.6003197125.

Adding to 10021857 its reverse (75812001), we get a palindrome (85833858).

It can be divided in two parts, 10021 and 857, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 10021857 in words is "ten million, twenty-one thousand, eight hundred fifty-seven".