1007109 has 12 divisors (see below), whose sum is σ = 1463436. Its totient is φ = 667392.

The previous prime is 1007099. The next prime is 1007117. The reversal of 1007109 is 9017001.

It can be written as a sum of positive squares in 2 ways, for example, as 202500 + 804609 = 450^2 + 897^2 .

It is not a de Polignac number, because 1007109 - 2⁸ = 1006853 is a prime.

It is a Curzon number.

1007109 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1007091 and 1007100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2677 + ... + 3029.

It is an arithmetic number, because the mean of its divisors is an integer number (121953).

2^1007109 is an apocalyptic number.

It is an amenable number.

1007109 is a deficient number, since it is larger than the sum of its proper divisors (456327).

1007109 is a wasteful number, since it uses less digits than its factorization.

1007109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 1007109 is about 1003.5482051202. The cubic root of 1007109 is about 100.2364073419.

The spelling of 1007109 in words is "one million, seven thousand, one hundred nine".