417213 has 12 divisors (see below), whose sum is σ = 608608. Its totient is φ = 275400.

The previous prime is 417203. The next prime is 417217. The reversal of 417213 is 312714.

It is not a de Polignac number, because 417213 - 2⁵ = 417181 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417217) 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 11 ways as a sum of consecutive naturals, for example, 1206 + ... + 1512.

2⁴¹⁷²¹³ is an apocalyptic number.

It is an amenable number.

417213 is a deficient number, since it is larger than the sum of its proper divisors (191395).

417213 is a wasteful number, since it uses less digits than its factorization.

417213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 461 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 417213 is about 645.9202737180. The cubic root of 417213 is about 74.7227093957.

Adding to 417213 its reverse (312714), we get a palindrome (729927).

It can be divided in two parts, 417 and 213, that added together give a triangular number (630 = T₃₅).

The spelling of 417213 in words is "four hundred seventeen thousand, two hundred thirteen".