35809 has 2 divisors, whose sum is σ = 35810. Its totient is φ = 35808.

The previous prime is 35803. The next prime is 35831. The reversal of 35809 is 90853.

35809 is nontrivially palindromic in base 12.

35809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30625 + 5184 = 175^2 + 72^2 .

It is a cyclic number.

It is not a de Polignac number, because 35809 - 2³ = 35801 is a prime.

It is a d-powerful number, because it can be written as 3⁷ + 5³ + 8⁵ + 0 + 9³ .

It is not a weakly prime, because it can be changed into another prime (35801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17904 + 17905.

It is an arithmetic number, because the mean of its divisors is an integer number (17905).

2³⁵⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

35809 is a deficient number, since it is larger than the sum of its proper divisors (1).

35809 is an equidigital number, since it uses as much as digits as its factorization.

35809 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 35809 is about 189.2326610287. The cubic root of 35809 is about 32.9607737156.

The spelling of 35809 in words is "thirty-five thousand, eight hundred nine".