6825977 has 2 divisors, whose sum is σ = 6825978. Its totient is φ = 6825976.

The previous prime is 6825971. The next prime is 6825979. The reversal of 6825977 is 7795286.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6446521 + 379456 = 2539^2 + 616^2 .

It is a cyclic number.

It is not a de Polignac number, because 6825977 - 2¹⁸ = 6563833 is a prime.

Together with 6825979, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (6825971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3412988 + 3412989.

It is an arithmetic number, because the mean of its divisors is an integer number (3412989).

Almost surely, 2^6825977 is an apocalyptic number.

It is an amenable number.

6825977 is a deficient number, since it is larger than the sum of its proper divisors (1).

6825977 is an equidigital number, since it uses as much as digits as its factorization.

6825977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 211680, while the sum is 44.

The square root of 6825977 is about 2612.6570766176. The cubic root of 6825977 is about 189.6945878193.

The spelling of 6825977 in words is "six million, eight hundred twenty-five thousand, nine hundred seventy-seven".