1005144 has 64 divisors (see below), whose sum is σ = 2979840. Its totient is φ = 276480.

The previous prime is 1005143. The next prime is 1005161. The reversal of 1005144 is 4415001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005143) 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 15 ways as a sum of consecutive naturals, for example, 5112 + ... + 5304.

It is an arithmetic number, because the mean of its divisors is an integer number (46560).

2^1005144 is an apocalyptic number.

1005144 is a gapful number since it is divisible by the number (14) 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 1005144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489920).

1005144 is an abundant number, since it is smaller than the sum of its proper divisors (1974696).

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

1005144 is a wasteful number, since it uses less digits than its factorization.

1005144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1005144 is about 1002.5687008879. The cubic root of 1005144 is about 100.1711734958.

It can be divided in two parts, 10051 and 44, that multiplied together give a palindrome (442244).

The spelling of 1005144 in words is "one million, five thousand, one hundred forty-four".