1005823 has 12 divisors (see below), whose sum is σ = 1260840. Its totient is φ = 795312.

The previous prime is 1005821. The next prime is 1005827. The reversal of 1005823 is 3285001.

It is a happy number.

It is not a de Polignac number, because 1005823 - 2¹ = 1005821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1005823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153 + ... + 1426.

It is an arithmetic number, because the mean of its divisors is an integer number (105070).

2^1005823 is an apocalyptic number.

1005823 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1005823 is a deficient number, since it is larger than the sum of its proper divisors (255017).

1005823 is a wasteful number, since it uses less digits than its factorization.

1005823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1005823 is about 1002.9072738793. The cubic root of 1005823 is about 100.1937244660.

The spelling of 1005823 in words is "one million, five thousand, eight hundred twenty-three".