12958973 has 2 divisors, whose sum is σ = 12958974. Its totient is φ = 12958972.

The previous prime is 12958951. The next prime is 12958997. The reversal of 12958973 is 37985921.

12958973 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10484644 + 2474329 = 3238^2 + 1573^2 .

It is a cyclic number.

It is not a de Polignac number, because 12958973 - 2⁸ = 12958717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12958073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6479486 + 6479487.

It is an arithmetic number, because the mean of its divisors is an integer number (6479487).

Almost surely, 2^12958973 is an apocalyptic number.

It is an amenable number.

12958973 is a deficient number, since it is larger than the sum of its proper divisors (1).

12958973 is an equidigital number, since it uses as much as digits as its factorization.

12958973 is an evil number, because the sum of its binary digits is even.

The product of its digits is 136080, while the sum is 44.

The square root of 12958973 is about 3599.8573582852. The cubic root of 12958973 is about 234.8858537243.

It can be divided in two parts, 12958 and 973, that added together give a palindrome (13931).

The spelling of 12958973 in words is "twelve million, nine hundred fifty-eight thousand, nine hundred seventy-three".