413117 has 8 divisors (see below), whose sum is σ = 460800. Its totient is φ = 368064.

The previous prime is 413113. The next prime is 413129. The reversal of 413117 is 711314.

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 413117 - 2² = 413113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413095 and 413104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413111) 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, 317 + ... + 962.

It is an arithmetic number, because the mean of its divisors is an integer number (57600).

2⁴¹³¹¹⁷ is an apocalyptic number.

It is an amenable number.

413117 is a deficient number, since it is larger than the sum of its proper divisors (47683).

413117 is a wasteful number, since it uses less digits than its factorization.

413117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315.

The product of its digits is 84, while the sum is 17.

The square root of 413117 is about 642.7417833003. The cubic root of 413117 is about 74.4773740278.

The spelling of 413117 in words is "four hundred thirteen thousand, one hundred seventeen".