413345 has 12 divisors (see below), whose sum is σ = 525780. Its totient is φ = 311904.

The previous prime is 413299. The next prime is 413353. The reversal of 413345 is 543314.

It can be written as a sum of positive squares in 2 ways, for example, as 283024 + 130321 = 532^2 + 361^2 .

It is not a de Polignac number, because 413345 - 2⁸ = 413089 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1691 + ... + 1919.

It is an arithmetic number, because the mean of its divisors is an integer number (43815).

2⁴¹³³⁴⁵ is an apocalyptic number.

It is an amenable number.

413345 is a deficient number, since it is larger than the sum of its proper divisors (112435).

413345 is a wasteful number, since it uses less digits than its factorization.

413345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 253 counting only the distinct ones).

The product of its digits is 720, while the sum is 20.

The square root of 413345 is about 642.9191239962. The cubic root of 413345 is about 74.4910729060.

Adding to 413345 its reverse (543314), we get a palindrome (956659).

The spelling of 413345 in words is "four hundred thirteen thousand, three hundred forty-five".