1006735 has 16 divisors (see below), whose sum is σ = 1283040. Its totient is φ = 757120.

The previous prime is 1006721. The next prime is 1006739. The reversal of 1006735 is 5376001.

It is not a de Polignac number, because 1006735 - 2¹¹ = 1004687 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 7620 + ... + 7750.

It is an arithmetic number, because the mean of its divisors is an integer number (80190).

2^1006735 is an apocalyptic number.

1006735 is a deficient number, since it is larger than the sum of its proper divisors (276305).

1006735 is a wasteful number, since it uses less digits than its factorization.

1006735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 1006735 is about 1003.3618489857. The cubic root of 1006735 is about 100.2239978749.

The spelling of 1006735 in words is "one million, six thousand, seven hundred thirty-five".