12973 has 2 divisors, whose sum is σ = 12974. Its totient is φ = 12972.

The previous prime is 12967. The next prime is 12979. The reversal of 12973 is 37921.

It is the 47-th star number.

It is a balanced prime because it is at equal distance from previous prime (12967) and next prime (12979).

It can be written as a sum of positive squares in only one way, i.e., 6889 + 6084 = 83^2 + 78^2 .

It is a cyclic number.

It is not a de Polignac number, because 12973 - 2⁵ = 12941 is a prime.

It is a nialpdrome in base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6486 + 6487.

It is an arithmetic number, because the mean of its divisors is an integer number (6487).

2¹²⁹⁷³ is an apocalyptic number.

It is an amenable number.

12973 is a deficient number, since it is larger than the sum of its proper divisors (1).

12973 is an equidigital number, since it uses as much as digits as its factorization.

12973 is an evil number, because the sum of its binary digits is even.

The product of its digits is 378, while the sum is 22.

The square root of 12973 is about 113.8990781350. The cubic root of 12973 is about 23.4970571236.

It can be divided in two parts, 129 and 73, that added together give a palindrome (202).

The spelling of 12973 in words is "twelve thousand, nine hundred seventy-three".