8845 has 8 divisors (see below), whose sum is σ = 11160. Its totient is φ = 6720.

The previous prime is 8839. The next prime is 8849. The reversal of 8845 is 5488.

8845 = 66² + 67².

It can be written as a sum of positive squares in 4 ways, for example, as 9 + 8836 = 3^2 + 94^2 .

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

It is not a de Polignac number, because 8845 - 2³ = 8837 is a prime.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 88 and 45 contains 8845 itself.

8845 is an undulating number in base 12.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115 + ... + 175.

It is an arithmetic number, because the mean of its divisors is an integer number (1395).

2⁸⁸⁴⁵ is an apocalyptic number.

8845 is the 67-th centered square number.

It is an amenable number.

8845 is a deficient number, since it is larger than the sum of its proper divisors (2315).

8845 is a wasteful number, since it uses less digits than its factorization.

8845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95.

The product of its digits is 1280, while the sum is 25.

The square root of 8845 is about 94.0478601564. The cubic root of 8845 is about 20.6807338612.

The spelling of 8845 in words is "eight thousand, eight hundred forty-five".