413315 has 16 divisors (see below), whose sum is σ = 580800. Its totient is φ = 282240.

The previous prime is 413299. The next prime is 413353. The reversal of 413315 is 513314.

It is not a de Polignac number, because 413315 - 2⁴ = 413299 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413293 and 413302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1595 + ... + 1835.

It is an arithmetic number, because the mean of its divisors is an integer number (36300).

2⁴¹³³¹⁵ is an apocalyptic number.

413315 is a deficient number, since it is larger than the sum of its proper divisors (167485).

413315 is an equidigital number, since it uses as much as digits as its factorization.

413315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its digits is 180, while the sum is 17.

The square root of 413315 is about 642.8957924890. The cubic root of 413315 is about 74.4892707099.

Adding to 413315 its reverse (513314), we get a palindrome (926629).

Subtracting 413315 from its reverse (513314), we obtain a palindrome (99999).

The spelling of 413315 in words is "four hundred thirteen thousand, three hundred fifteen".