677213 has 2 divisors, whose sum is σ = 677214. Its totient is φ = 677212.

The previous prime is 677177. The next prime is 677227. The reversal of 677213 is 312776.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 444889 + 232324 = 667^2 + 482^2 .

It is a cyclic number.

It is not a de Polignac number, because 677213 - 2¹² = 673117 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 677213.

It is not a weakly prime, because it can be changed into another prime (677233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 338606 + 338607.

It is an arithmetic number, because the mean of its divisors is an integer number (338607).

2⁶⁷⁷²¹³ is an apocalyptic number.

It is an amenable number.

677213 is a deficient number, since it is larger than the sum of its proper divisors (1).

677213 is an equidigital number, since it uses as much as digits as its factorization.

677213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1764, while the sum is 26.

The square root of 677213 is about 822.9295231063. The cubic root of 677213 is about 87.8162920353.

Adding to 677213 its reverse (312776), we get a palindrome (989989).

The spelling of 677213 in words is "six hundred seventy-seven thousand, two hundred thirteen".