414713 has 16 divisors (see below), whose sum is σ = 497280. Its totient is φ = 342144.

The previous prime is 414709. The next prime is 414721. The reversal of 414713 is 317414.

414713 is nontrivially palindromic in base 15.

414713 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a cyclic number.

It is not a de Polignac number, because 414713 - 2² = 414709 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5645 + ... + 5717.

It is an arithmetic number, because the mean of its divisors is an integer number (31080).

2⁴¹⁴⁷¹³ is an apocalyptic number.

It is an amenable number.

414713 is a deficient number, since it is larger than the sum of its proper divisors (82567).

414713 is a wasteful number, since it uses less digits than its factorization.

414713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128.

The product of its digits is 336, while the sum is 20.

The square root of 414713 is about 643.9821426096. The cubic root of 414713 is about 74.5731605682.

The spelling of 414713 in words is "four hundred fourteen thousand, seven hundred thirteen".