677597377 has 2 divisors, whose sum is σ = 677597378. Its totient is φ = 677597376.

The previous prime is 677597353. The next prime is 677597413. The reversal of 677597377 is 773795776.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 370331536 + 307265841 = 19244^2 + 17529^2 .

It is a cyclic number.

It is not a de Polignac number, because 677597377 - 2²³ = 669208769 is a prime.

It is a super-3 number, since 3×677597377³ (a number of 27 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (677597077) 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, 338798688 + 338798689.

It is an arithmetic number, because the mean of its divisors is an integer number (338798689).

Almost surely, 2^677597377 is an apocalyptic number.

It is an amenable number.

677597377 is a deficient number, since it is larger than the sum of its proper divisors (1).

677597377 is an equidigital number, since it uses as much as digits as its factorization.

677597377 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13613670, while the sum is 58.

The square root of 677597377 is about 26030.7006628711. The cubic root of 677597377 is about 878.3290334212.

The spelling of 677597377 in words is "six hundred seventy-seven million, five hundred ninety-seven thousand, three hundred seventy-seven".