1006749 has 14 divisors (see below), whose sum is σ = 1510526. Its totient is φ = 670680.

The previous prime is 1006739. The next prime is 1006751. The reversal of 1006749 is 9476001.

It can be written as a sum of positive squares in only one way, i.e., 842724 + 164025 = 918^2 + 405^2 .

It is not a de Polignac number, because 1006749 - 2⁸ = 1006493 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006739) 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 13 ways as a sum of consecutive naturals, for example, 39 + ... + 1419.

2^1006749 is an apocalyptic number.

It is an amenable number.

1006749 is a deficient number, since it is larger than the sum of its proper divisors (503777).

1006749 is an frugal number, since it uses more digits than its factorization.

1006749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1006749 is about 1003.3688255074. The cubic root of 1006749 is about 100.2244624558.

The spelling of 1006749 in words is "one million, six thousand, seven hundred forty-nine".