1005687 has 12 divisors (see below), whose sum is σ = 1465464. Its totient is φ = 664560.

The previous prime is 1005679. The next prime is 1005701. The reversal of 1005687 is 7865001.

It is not a de Polignac number, because 1005687 - 2³ = 1005679 is a prime.

It is a super-3 number, since 3×1005687³ = 3051474629507333109, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1005687.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005617) 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, 753 + ... + 1605.

It is an arithmetic number, because the mean of its divisors is an integer number (122122).

2^1005687 is an apocalyptic number.

1005687 is a deficient number, since it is larger than the sum of its proper divisors (459777).

1005687 is a wasteful number, since it uses less digits than its factorization.

1005687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1005687 is about 1002.8394687087. The cubic root of 1005687 is about 100.1892084425.

The spelling of 1005687 in words is "one million, five thousand, six hundred eighty-seven".