413089 has 2 divisors, whose sum is σ = 413090. Its totient is φ = 413088.

The previous prime is 413087. The next prime is 413093. The reversal of 413089 is 980314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 380689 + 32400 = 617^2 + 180^2 .

It is a cyclic number.

It is not a de Polignac number, because 413089 - 2¹ = 413087 is a prime.

Together with 413087, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (413081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206544 + 206545.

It is an arithmetic number, because the mean of its divisors is an integer number (206545).

2⁴¹³⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

413089 is a deficient number, since it is larger than the sum of its proper divisors (1).

413089 is an equidigital number, since it uses as much as digits as its factorization.

413089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 413089 is about 642.7200012447. The cubic root of 413089 is about 74.4756913620.

The spelling of 413089 in words is "four hundred thirteen thousand, eighty-nine".