8945 has 4 divisors (see below), whose sum is σ = 10740. Its totient is φ = 7152.

The previous prime is 8941. The next prime is 8951. The reversal of 8945 is 5498.

8945 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 5498 = 2 ⋅2749.

It can be written as a sum of positive squares in 2 ways, for example, as 6241 + 2704 = 79^2 + 52^2 .

It is a cyclic number.

It is not a de Polignac number, because 8945 - 2² = 8941 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8945.

It is not an unprimeable number, because it can be changed into a prime (8941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 890 + ... + 899.

It is an arithmetic number, because the mean of its divisors is an integer number (2685).

It is an amenable number.

8945 is a deficient number, since it is larger than the sum of its proper divisors (1795).

8945 is a wasteful number, since it uses less digits than its factorization.

8945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794.

The product of its digits is 1440, while the sum is 26.

The square root of 8945 is about 94.5780101292. The cubic root of 8945 is about 20.7583795449.

It can be divided in two parts, 89 and 45, that multiplied together give a triangular number (4005 = T₈₉).

The spelling of 8945 in words is "eight thousand, nine hundred forty-five".