7973 has 8 divisors (see below), whose sum is σ = 9792. Its totient is φ = 6336.

The previous prime is 7963. The next prime is 7993. The reversal of 7973 is 3797.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 7973 - 2⁸ = 7717 is a prime.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7933) 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, 86 + ... + 152.

It is an arithmetic number, because the mean of its divisors is an integer number (1224).

2⁷⁹⁷³ is an apocalyptic number.

It is an amenable number.

7973 is a deficient number, since it is larger than the sum of its proper divisors (1819).

7973 is a wasteful number, since it uses less digits than its factorization.

7973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91.

The product of its digits is 1323, while the sum is 26.

The square root of 7973 is about 89.2916569451. The cubic root of 7973 is about 19.9774746399.

The spelling of 7973 in words is "seven thousand, nine hundred seventy-three".