45805 has 4 divisors (see below), whose sum is σ = 54972. Its totient is φ = 36640.

The previous prime is 45779. The next prime is 45817. The reversal of 45805 is 50854.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 15876 + 29929 = 126^2 + 173^2 .

It is not a de Polignac number, because 45805 - 2⁷ = 45677 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 45 and 805 contains 45805 itself.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4576 + ... + 4585.

It is an arithmetic number, because the mean of its divisors is an integer number (13743).

2⁴⁵⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

45805 is a deficient number, since it is larger than the sum of its proper divisors (9167).

45805 is an equidigital number, since it uses as much as digits as its factorization.

45805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9166.

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 45805 is about 214.0210270044. The cubic root of 45805 is about 35.7797769745.

It can be divided in two parts, 4 and 5805, that multiplied together give a triangular number (23220 = T₂₁₅).

The spelling of 45805 in words is "forty-five thousand, eight hundred five".