1005135 has 16 divisors (see below), whose sum is σ = 1625184. Its totient is φ = 530432.

The previous prime is 1005133. The next prime is 1005143. The reversal of 1005135 is 5315001.

It is a cyclic number.

It is not a de Polignac number, because 1005135 - 2¹ = 1005133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

1005135 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005131) 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, 1399 + ... + 1991.

It is an arithmetic number, because the mean of its divisors is an integer number (101574).

2^1005135 is an apocalyptic number.

1005135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1005135 is a deficient number, since it is larger than the sum of its proper divisors (620049).

1005135 is a wasteful number, since it uses less digits than its factorization.

1005135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714.

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 1005135 is about 1002.5642124074. The cubic root of 1005135 is about 100.1708745193.

The spelling of 1005135 in words is "one million, five thousand, one hundred thirty-five".