417313 has 8 divisors (see below), whose sum is σ = 459648. Its totient is φ = 376464.

The previous prime is 417311. The next prime is 417317. The reversal of 417313 is 313714.

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

It is a cyclic number.

It is not a de Polignac number, because 417313 - 2¹ = 417311 is a prime.

It is a Duffinian number.

417313 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (417311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270 + ... + 952.

It is an arithmetic number, because the mean of its divisors is an integer number (57456).

2⁴¹⁷³¹³ is an apocalyptic number.

It is an amenable number.

417313 is a deficient number, since it is larger than the sum of its proper divisors (42335).

417313 is a wasteful number, since it uses less digits than its factorization.

417313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743.

The product of its digits is 252, while the sum is 19.

The square root of 417313 is about 645.9976780144. The cubic root of 417313 is about 74.7286789077.

It can be divided in two parts, 4173 and 13, that added together give a triangular number (4186 = T₉₁).

The spelling of 417313 in words is "four hundred seventeen thousand, three hundred thirteen".