4405 has 4 divisors (see below), whose sum is σ = 5292. Its totient is φ = 3520.

The previous prime is 4397. The next prime is 4409. The reversal of 4405 is 5044.

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 1156 + 3249 = 34^2 + 57^2 .

It is not a de Polignac number, because 4405 - 2³ = 4397 is a prime.

It is a d-powerful number, because it can be written as 4⁴ + 0 + 4⁵ + 5⁵ .

It is a Duffinian number.

It is a plaindrome in base 11, base 15 and base 16.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4409) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 436 + ... + 445.

It is an arithmetic number, because the mean of its divisors is an integer number (1323).

2⁴⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

4405 is a deficient number, since it is larger than the sum of its proper divisors (887).

4405 is an equidigital number, since it uses as much as digits as its factorization.

4405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886.

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 4405 is about 66.3701740242. The cubic root of 4405 is about 16.3926300417.

Adding to 4405 its reverse (5044), we get a palindrome (9449).

The spelling of 4405 in words is "four thousand, four hundred five".