416713 has 8 divisors (see below), whose sum is σ = 465696. Its totient is φ = 369600.

The previous prime is 416693. The next prime is 416719. The reversal of 416713 is 317614.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 416713 - 2⁹ = 416201 is a prime.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33 + ... + 913.

It is an arithmetic number, because the mean of its divisors is an integer number (58212).

2⁴¹⁶⁷¹³ is an apocalyptic number.

416713 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

416713 is a deficient number, since it is larger than the sum of its proper divisors (48983).

416713 is a wasteful number, since it uses less digits than its factorization.

416713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935.

The product of its digits is 504, while the sum is 22.

The square root of 416713 is about 645.5331130159. The cubic root of 416713 is about 74.6928475189.

Subtracting from 416713 its reverse (317614), we obtain a palindrome (99099).

The spelling of 416713 in words is "four hundred sixteen thousand, seven hundred thirteen".