93809 has 2 divisors, whose sum is σ = 93810. Its totient is φ = 93808.

The previous prime is 93787. The next prime is 93811. The reversal of 93809 is 90839.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93025 + 784 = 305^2 + 28^2 .

It is a cyclic number.

It is not a de Polignac number, because 93809 - 2⁸ = 93553 is a prime.

Together with 93811, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (93889) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 46904 + 46905.

It is an arithmetic number, because the mean of its divisors is an integer number (46905).

2⁹³⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

93809 is a deficient number, since it is larger than the sum of its proper divisors (1).

93809 is an equidigital number, since it uses as much as digits as its factorization.

93809 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 93809 is about 306.2825492907. The cubic root of 93809 is about 45.4375426104.

The spelling of 93809 in words is "ninety-three thousand, eight hundred nine".