8973 has 6 divisors (see below), whose sum is σ = 12974. Its totient is φ = 5976.

The previous prime is 8971. The next prime is 8999. The reversal of 8973 is 3798.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8649 + 324 = 93^2 + 18^2 .

It is not a de Polignac number, because 8973 - 2¹ = 8971 is a prime.

It is a d-powerful number, because it can be written as 8 + 7⁴ + 9⁴ + 3 .

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8971) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 490 + ... + 507.

2⁸⁹⁷³ is an apocalyptic number.

It is an amenable number.

8973 is a deficient number, since it is larger than the sum of its proper divisors (4001).

8973 is a wasteful number, since it uses less digits than its factorization.

8973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 1000 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 8973 is about 94.7259204231. The cubic root of 8973 is about 20.7800165567.

It can be divided in two parts, 897 and 3, that added together give a square (900 = 30²).

The spelling of 8973 in words is "eight thousand, nine hundred seventy-three".