1005093 has 12 divisors (see below), whose sum is σ = 1462188. Its totient is φ = 665280.

The previous prime is 1005079. The next prime is 1005101. The reversal of 1005093 is 3905001.

It can be written as a sum of positive squares in 2 ways, for example, as 19044 + 986049 = 138^2 + 993^2 .

It is not a de Polignac number, because 1005093 - 2⁶ = 1005029 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005013) 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, 1321 + ... + 1937.

It is an arithmetic number, because the mean of its divisors is an integer number (121849).

2^1005093 is an apocalyptic number.

It is an amenable number.

1005093 is a deficient number, since it is larger than the sum of its proper divisors (457095).

1005093 is a wasteful number, since it uses less digits than its factorization.

1005093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 1005093 is about 1002.5432658993. The cubic root of 1005093 is about 100.1694792722.

The spelling of 1005093 in words is "one million, five thousand, ninety-three".