413001 has 12 divisors (see below), whose sum is σ = 603460. Its totient is φ = 272160.

The previous prime is 412987. The next prime is 413009. The reversal of 413001 is 100314.

It can be written as a sum of positive squares in 2 ways, for example, as 104976 + 308025 = 324^2 + 555^2 .

It is not a de Polignac number, because 413001 - 2¹¹ = 410953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (413009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 771 + ... + 1191.

2⁴¹³⁰⁰¹ is an apocalyptic number.

It is an amenable number.

413001 is a deficient number, since it is larger than the sum of its proper divisors (190459).

413001 is a wasteful number, since it uses less digits than its factorization.

413001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 413001 is about 642.6515385495. The cubic root of 413001 is about 74.4704024886.

Adding to 413001 its reverse (100314), we get a palindrome (513315).

The spelling of 413001 in words is "four hundred thirteen thousand, one".