685416177 has 12 divisors (see below), whose sum is σ = 991525444. Its totient is φ = 456261120.

The previous prime is 685416167. The next prime is 685416197. The reversal of 685416177 is 771614586.

685416177 is a `hidden beast` number, since 68 + 5 + 416 + 177 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 427621041 + 257795136 = 20679^2 + 16056^2 .

It is not a de Polignac number, because 685416177 - 2⁴ = 685416161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (685416167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50524 + ... + 62637.

Almost surely, 2^685416177 is an apocalyptic number.

It is an amenable number.

685416177 is a deficient number, since it is larger than the sum of its proper divisors (306109267).

685416177 is a wasteful number, since it uses less digits than its factorization.

685416177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113840 (or 113837 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 685416177 is about 26180.4541022496. The cubic root of 685416177 is about 881.6944697373.

The spelling of 685416177 in words is "six hundred eighty-five million, four hundred sixteen thousand, one hundred seventy-seven".