1005752 has 24 divisors (see below), whose sum is σ = 2074800. Its totient is φ = 456720.

The previous prime is 1005751. The next prime is 1005761. The reversal of 1005752 is 2575001.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005751) 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 5 ways as a sum of consecutive naturals, for example, 449 + ... + 1487.

It is an arithmetic number, because the mean of its divisors is an integer number (86450).

2^1005752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037400).

1005752 is an abundant number, since it is smaller than the sum of its proper divisors (1069048).

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

1005752 is a wasteful number, since it uses less digits than its factorization.

1005752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 1005752 is about 1002.8718761637. The cubic root of 1005752 is about 100.1913668869.

The spelling of 1005752 in words is "one million, five thousand, seven hundred fifty-two".