1005129 has 10 divisors (see below), whose sum is σ = 1501610. Its totient is φ = 670032.

The previous prime is 1005107. The next prime is 1005131. The reversal of 1005129 is 9215001.

It can be written as a sum of positive squares in only one way, i.e., 585225 + 419904 = 765^2 + 648^2 .

It is not a de Polignac number, because 1005129 - 2⁸ = 1004873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005029) 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 9 ways as a sum of consecutive naturals, for example, 6124 + ... + 6285.

It is an arithmetic number, because the mean of its divisors is an integer number (150161).

2^1005129 is an apocalyptic number.

It is an amenable number.

1005129 is a deficient number, since it is larger than the sum of its proper divisors (496481).

1005129 is an equidigital number, since it uses as much as digits as its factorization.

1005129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12421 (or 12412 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1005129 is about 1002.5612200759. The cubic root of 1005129 is about 100.1706752007.

The spelling of 1005129 in words is "one million, five thousand, one hundred twenty-nine".