417713 has 4 divisors (see below), whose sum is σ = 420900. Its totient is φ = 414528.

The previous prime is 417691. The next prime is 417719. The reversal of 417713 is 317714.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 134689 + 283024 = 367^2 + 532^2 .

It is a cyclic number.

It is not a de Polignac number, because 417713 - 2⁶ = 417649 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (417719) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1388 + ... + 1661.

It is an arithmetic number, because the mean of its divisors is an integer number (105225).

2⁴¹⁷⁷¹³ is an apocalyptic number.

It is an amenable number.

417713 is a deficient number, since it is larger than the sum of its proper divisors (3187).

417713 is a wasteful number, since it uses less digits than its factorization.

417713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186.

The product of its digits is 588, while the sum is 23.

The square root of 417713 is about 646.3072024974. The cubic root of 417713 is about 74.7525474238.

Subtracting from 417713 its reverse (317714), we obtain a palindrome (99999).

The spelling of 417713 in words is "four hundred seventeen thousand, seven hundred thirteen".