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413009 is a prime number
BaseRepresentation
bin1100100110101010001
3202222112122
41210311101
5101204014
612504025
73340052
oct1446521
9688478
10413009
11262333
1217b015
13115cac
14aa729
158258e
hex64d51

413009 has 2 divisors, whose sum is σ = 413010. Its totient is φ = 413008.

The previous prime is 412987. The next prime is 413027. The reversal of 413009 is 900314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 253009 + 160000 = 503^2 + 400^2 .

It is a cyclic number.

It is not a de Polignac number, because 413009 - 212 = 408913 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (413069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206504 + 206505.

It is an arithmetic number, because the mean of its divisors is an integer number (206505).

2413009 is an apocalyptic number.

It is an amenable number.

413009 is a deficient number, since it is larger than the sum of its proper divisors (1).

413009 is an equidigital number, since it uses as much as digits as its factorization.

413009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 413009 is about 642.6577627322. The cubic root of 413009 is about 74.4708833263.

The spelling of 413009 in words is "four hundred thirteen thousand, nine".