413105 has 32 divisors (see below), whose sum is σ = 656640. Its totient is φ = 241920.

The previous prime is 413093. The next prime is 413111. The reversal of 413105 is 501314.

It is not a de Polignac number, because 413105 - 2⁴ = 413089 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 413105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11147 + ... + 11183.

It is an arithmetic number, because the mean of its divisors is an integer number (20520).

2⁴¹³¹⁰⁵ is an apocalyptic number.

It is an amenable number.

413105 is a deficient number, since it is larger than the sum of its proper divisors (243535).

413105 is a wasteful number, since it uses less digits than its factorization.

413105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 413105 is about 642.7324482240. The cubic root of 413105 is about 74.4766528947.

Adding to 413105 its reverse (501314), we get a palindrome (914419).

Subtracting 413105 from its reverse (501314), we obtain a square (88209 = 297²).

It can be divided in two parts, 413 and 105, that multiplied together give a triangular number (43365 = T₂₉₄).

The spelling of 413105 in words is "four hundred thirteen thousand, one hundred five".