677813 has 2 divisors, whose sum is σ = 677814. Its totient is φ = 677812.

The previous prime is 677791. The next prime is 677827. The reversal of 677813 is 318776.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 677329 + 484 = 823^2 + 22^2 .

It is a cyclic number.

It is not a de Polignac number, because 677813 - 2¹⁸ = 415669 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 677813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (677113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 338906 + 338907.

It is an arithmetic number, because the mean of its divisors is an integer number (338907).

2⁶⁷⁷⁸¹³ is an apocalyptic number.

It is an amenable number.

677813 is a deficient number, since it is larger than the sum of its proper divisors (1).

677813 is an equidigital number, since it uses as much as digits as its factorization.

677813 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7056, while the sum is 32.

The square root of 677813 is about 823.2939936620. The cubic root of 677813 is about 87.8422189949.

The spelling of 677813 in words is "six hundred seventy-seven thousand, eight hundred thirteen".