35805 has 32 divisors (see below), whose sum is σ = 73728. Its totient is φ = 14400.

The previous prime is 35803. The next prime is 35809. The reversal of 35805 is 50853.

35805 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 35805 - 2¹ = 35803 is a prime.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 16.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1140 + ... + 1170.

It is an arithmetic number, because the mean of its divisors is an integer number (2304).

2³⁵⁸⁰⁵ is an apocalyptic number.

35805 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

35805 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36864).

35805 is a wasteful number, since it uses less digits than its factorization.

35805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 35805 is about 189.2220917335. Note that the first 3 decimals coincide. The cubic root of 35805 is about 32.9595463891.

The spelling of 35805 in words is "thirty-five thousand, eight hundred five".