871677 has 12 divisors (see below), whose sum is σ = 1314144. Its totient is φ = 555720.

The previous prime is 871657. The next prime is 871679. The reversal of 871677 is 776178.

It is not a de Polignac number, because 871677 - 2⁶ = 871613 is a prime.

871677 is a lucky number.

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 871677.

It is not an unprimeable number, because it can be changed into a prime (871679) 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 in 11 ways as a sum of consecutive naturals, for example, 1899 + ... + 2312.

It is an arithmetic number, because the mean of its divisors is an integer number (109512).

2⁸⁷¹⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

871677 is a deficient number, since it is larger than the sum of its proper divisors (442467).

871677 is a wasteful number, since it uses less digits than its factorization.

871677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240 (or 4237 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

The square root of 871677 is about 933.6364388776. The cubic root of 871677 is about 95.5253261047.

It can be divided in two parts, 87 and 1677, that added together give a square (1764 = 42²).

The spelling of 871677 in words is "eight hundred seventy-one thousand, six hundred seventy-seven".