10217085 has 32 divisors (see below), whose sum is σ = 17521920. Its totient is φ = 5065728.

The previous prime is 10217063. The next prime is 10217087. The reversal of 10217085 is 58071201.

It is not a de Polignac number, because 10217085 - 2¹⁹ = 9692797 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10217087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26071 + ... + 26459.

It is an arithmetic number, because the mean of its divisors is an integer number (547560).

Almost surely, 2^10217085 is an apocalyptic number.

10217085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10217085 is a deficient number, since it is larger than the sum of its proper divisors (7304835).

10217085 is a wasteful number, since it uses less digits than its factorization.

10217085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517.

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

The square root of 10217085 is about 3196.4175259187. The cubic root of 10217085 is about 216.9913068927.

Adding to 10217085 its reverse (58071201), we get a palindrome (68288286).

The spelling of 10217085 in words is "ten million, two hundred seventeen thousand, eighty-five".