1005137 has 12 divisors (see below), whose sum is σ = 1189476. Its totient is φ = 846720.

The previous prime is 1005133. The next prime is 1005143. The reversal of 1005137 is 7315001.

It can be written as a sum of positive squares in 2 ways, for example, as 625681 + 379456 = 791^2 + 616^2 .

It is not a de Polignac number, because 1005137 - 2² = 1005133 is a prime.

It is a Duffinian 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3437 + ... + 3717.

It is an arithmetic number, because the mean of its divisors is an integer number (99123).

2^1005137 is an apocalyptic number.

It is an amenable number.

1005137 is a deficient number, since it is larger than the sum of its proper divisors (184339).

1005137 is an equidigital number, since it uses as much as digits as its factorization.

1005137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 1005137 is about 1002.5652098492. The cubic root of 1005137 is about 100.1709409587.

The spelling of 1005137 in words is "one million, five thousand, one hundred thirty-seven".