10217613 has 16 divisors (see below), whose sum is σ = 15656576. Its totient is φ = 5806080.

The previous prime is 10217609. The next prime is 10217633. The reversal of 10217613 is 31671201.

It is not a de Polignac number, because 10217613 - 2² = 10217609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is the 3197-th Hogben number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10217613.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10217633) by changing a digit.

It is a nontrivial repunit in base 3196.

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 15 ways as a sum of consecutive naturals, for example, 2793 + ... + 5313.

It is an arithmetic number, because the mean of its divisors is an integer number (978536).

Almost surely, 2^10217613 is an apocalyptic number.

It is an amenable number.

10217613 is a deficient number, since it is larger than the sum of its proper divisors (5438963).

10217613 is a wasteful number, since it uses less digits than its factorization.

10217613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 10217613 is about 3196.5001173158. The cubic root of 10217613 is about 216.9950447310.

Adding to 10217613 its reverse (31671201), we get a palindrome (41888814).

The spelling of 10217613 in words is "ten million, two hundred seventeen thousand, six hundred thirteen".