10212417 has 12 divisors (see below), whose sum is σ = 14794260. Its totient is φ = 6788448.

The previous prime is 10212373. The next prime is 10212421. The reversal of 10212417 is 71421201.

10212417 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7420176 + 2792241 = 2724^2 + 1671^2 .

It is not a de Polignac number, because 10212417 - 2⁶ = 10212353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10212417.

It is not an unprimeable number, because it can be changed into a prime (10212467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2043 + ... + 4959.

It is an arithmetic number, because the mean of its divisors is an integer number (1232855).

Almost surely, 2^10212417 is an apocalyptic number.

It is an amenable number.

10212417 is a deficient number, since it is larger than the sum of its proper divisors (4581843).

10212417 is a wasteful number, since it uses less digits than its factorization.

10212417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10212417 is about 3195.6872500293. The cubic root of 10212417 is about 216.9582554003.

Adding to 10212417 its reverse (71421201), we get a palindrome (81633618).

The spelling of 10212417 in words is "ten million, two hundred twelve thousand, four hundred seventeen".