1007685 has 36 divisors (see below), whose sum is σ = 2036268. Its totient is φ = 459648.

The previous prime is 1007683. The next prime is 1007693. The reversal of 1007685 is 5867001.

It can be written as a sum of positive squares in 2 ways, for example, as 636804 + 370881 = 798^2 + 609^2 .

It is not a de Polignac number, because 1007685 - 2¹ = 1007683 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007681) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1977 + ... + 2433.

It is an arithmetic number, because the mean of its divisors is an integer number (56563).

2^1007685 is an apocalyptic number.

1007685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1007685 is an abundant number, since it is smaller than the sum of its proper divisors (1028583).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1007685 is a wasteful number, since it uses less digits than its factorization.

1007685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 472 counting only the distinct ones).

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

The square root of 1007685 is about 1003.8351458282. The cubic root of 1007685 is about 100.2555132404.

The spelling of 1007685 in words is "one million, seven thousand, six hundred eighty-five".