413101 has 8 divisors (see below), whose sum is σ = 455840. Its totient is φ = 371952.

The previous prime is 413093. The next prime is 413111. The reversal of 413101 is 101314.

It is a happy number.

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 413101 - 2³ = 413093 is a prime.

It is a Duffinian number.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190 + ... + 928.

It is an arithmetic number, because the mean of its divisors is an integer number (56980).

2⁴¹³¹⁰¹ is an apocalyptic number.

It is an amenable number.

413101 is a deficient number, since it is larger than the sum of its proper divisors (42739).

413101 is a wasteful number, since it uses less digits than its factorization.

413101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 413101 is about 642.7293365018. The cubic root of 413101 is about 74.4764125138.

Adding to 413101 its reverse (101314), we get a palindrome (514415).

The spelling of 413101 in words is "four hundred thirteen thousand, one hundred one".