1005000 has 80 divisors (see below), whose sum is σ = 3186480. Its totient is φ = 264000.

The previous prime is 1004987. The next prime is 1005007. The reversal of 1005000 is 5001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1005000.

It is not an unprimeable number, because it can be changed into a prime (1005007) 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 19 ways as a sum of consecutive naturals, for example, 14967 + ... + 15033.

It is an arithmetic number, because the mean of its divisors is an integer number (39831).

2^1005000 is an apocalyptic number.

1005000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593240).

1005000 is an abundant number, since it is smaller than the sum of its proper divisors (2181480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005000 is an equidigital number, since it uses as much as digits as its factorization.

1005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 6.

The square root of 1005000 is about 1002.4968827882. The cubic root of 1005000 is about 100.1663896579.

Subtracting from 1005000 its reverse (5001), we obtain a palindrome (999999).

The spelling of 1005000 in words is "one million, five thousand".