6813973 has 2 divisors, whose sum is σ = 6813974. Its totient is φ = 6813972.

The previous prime is 6813949. The next prime is 6813977. The reversal of 6813973 is 3793186.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4915089 + 1898884 = 2217^2 + 1378^2 .

It is a cyclic number.

It is not a de Polignac number, because 6813973 - 2¹⁷ = 6682901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6813977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3406986 + 3406987.

It is an arithmetic number, because the mean of its divisors is an integer number (3406987).

Almost surely, 2^6813973 is an apocalyptic number.

It is an amenable number.

6813973 is a deficient number, since it is larger than the sum of its proper divisors (1).

6813973 is an equidigital number, since it uses as much as digits as its factorization.

6813973 is an evil number, because the sum of its binary digits is even.

The product of its digits is 27216, while the sum is 37.

The square root of 6813973 is about 2610.3587875999. The cubic root of 6813973 is about 189.5833251164.

It can be divided in two parts, 68 and 13973, that added together give a palindrome (14041).

The spelling of 6813973 in words is "six million, eight hundred thirteen thousand, nine hundred seventy-three".