8073 has 16 divisors (see below), whose sum is σ = 13440. Its totient is φ = 4752.

The previous prime is 8069. The next prime is 8081. The reversal of 8073 is 3708.

Added to its reverse (3708) it gives a triangular number (11781 = T₁₅₃).

It is not a de Polignac number, because 8073 - 2² = 8069 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

8073 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340 + ... + 362.

It is an arithmetic number, because the mean of its divisors is an integer number (840).

2⁸⁰⁷³ is an apocalyptic number.

It is an amenable number.

8073 is a deficient number, since it is larger than the sum of its proper divisors (5367).

8073 is a wasteful number, since it uses less digits than its factorization.

8073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 8073 is about 89.8498747912. The cubic root of 8073 is about 20.0606492310.

Adding to 8073 its reverse (3708), we get a triangular number (11781 = T₁₅₃).

It can be divided in two parts, 80 and 73, that added together give a triangular number (153 = T₁₇).

The spelling of 8073 in words is "eight thousand, seventy-three".