1005952 has 32 divisors (see below), whose sum is σ = 2080800. Its totient is φ = 483840.

The previous prime is 1005937. The next prime is 1005959. The reversal of 1005952 is 2595001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005959) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3577 + ... + 3847.

It is an arithmetic number, because the mean of its divisors is an integer number (65025).

2^1005952 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 1005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040400).

1005952 is an abundant number, since it is smaller than the sum of its proper divisors (1074848).

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

1005952 is an equidigital number, since it uses as much as digits as its factorization.

1005952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 1005952 is about 1002.9715848418. The cubic root of 1005952 is about 100.1980076708.

The spelling of 1005952 in words is "one million, five thousand, nine hundred fifty-two".