413717 has 4 divisors (see below), whose sum is σ = 419616. Its totient is φ = 407820.

The previous prime is 413713. The next prime is 413719. The reversal of 413717 is 717314.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 413717 - 2² = 413713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413692 and 413701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2843 + ... + 2984.

It is an arithmetic number, because the mean of its divisors is an integer number (104904).

2⁴¹³⁷¹⁷ is an apocalyptic number.

It is an amenable number.

413717 is a deficient number, since it is larger than the sum of its proper divisors (5899).

413717 is an equidigital number, since it uses as much as digits as its factorization.

413717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5898.

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

The square root of 413717 is about 643.2083643735. The cubic root of 413717 is about 74.5134128966.

The spelling of 413717 in words is "four hundred thirteen thousand, seven hundred seventeen".