677841761 has 2 divisors, whose sum is σ = 677841762. Its totient is φ = 677841760.

The previous prime is 677841743. The next prime is 677841767. The reversal of 677841761 is 167148776.

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., 366531025 + 311310736 = 19145^2 + 17644^2 .

It is a cyclic number.

It is not a de Polignac number, because 677841761 - 2²⁶ = 610732897 is a prime.

It is a super-4 number, since 4×677841761⁴ (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (677841767) 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, 338920880 + 338920881.

It is an arithmetic number, because the mean of its divisors is an integer number (338920881).

Almost surely, 2^677841761 is an apocalyptic number.

It is an amenable number.

677841761 is a deficient number, since it is larger than the sum of its proper divisors (1).

677841761 is an equidigital number, since it uses as much as digits as its factorization.

677841761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 395136, while the sum is 47.

The square root of 677841761 is about 26035.3943891772. The cubic root of 677841761 is about 878.4346141931.

The spelling of 677841761 in words is "six hundred seventy-seven million, eight hundred forty-one thousand, seven hundred sixty-one".