413021 has 6 divisors (see below), whose sum is σ = 480510. Its totient is φ = 353976.

The previous prime is 413009. The next prime is 413027. The reversal of 413021 is 120314.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 290521 + 122500 = 539^2 + 350^2 .

It is not a de Polignac number, because 413021 - 2¹⁴ = 396637 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 412993 and 413011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413027) 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 5 ways as a sum of consecutive naturals, for example, 4166 + ... + 4263.

It is an arithmetic number, because the mean of its divisors is an integer number (80085).

2⁴¹³⁰²¹ is an apocalyptic number.

It is an amenable number.

413021 is a deficient number, since it is larger than the sum of its proper divisors (67489).

413021 is an equidigital number, since it uses as much as digits as its factorization.

413021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8443 (or 8436 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 413021 is about 642.6670988934. The cubic root of 413021 is about 74.4716045713.

Adding to 413021 its reverse (120314), we get a palindrome (533335).

The spelling of 413021 in words is "four hundred thirteen thousand, twenty-one".