93805 has 8 divisors (see below), whose sum is σ = 114552. Its totient is φ = 73728.

The previous prime is 93787. The next prime is 93809. The reversal of 93805 is 50839.

It can be written as a sum of positive squares in 4 ways, for example, as 37636 + 56169 = 194^2 + 237^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 7-Lehmer number, since φ(93805) divides (93805-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 93805 - 2¹¹ = 91757 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 93805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237 + ... + 493.

It is an arithmetic number, because the mean of its divisors is an integer number (14319).

2⁹³⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

93805 is a deficient number, since it is larger than the sum of its proper divisors (20747).

93805 is a wasteful number, since it uses less digits than its factorization.

93805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335.

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

The square root of 93805 is about 306.2760193029. The cubic root of 93805 is about 45.4368967848.

It can be divided in two parts, 93 and 805, that added together give a palindrome (898).

The spelling of 93805 in words is "ninety-three thousand, eight hundred five".