1001952 has 108 divisors (see below), whose sum is σ = 3361176. Its totient is φ = 282240.

The previous prime is 1001947. The next prime is 1001953. The reversal of 1001952 is 2591001.

1001952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001953) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14077 + ... + 14147.

It is an arithmetic number, because the mean of its divisors is an integer number (31122).

2^1001952 is an apocalyptic number.

1001952 is a gapful number since it is divisible by the number (12) 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 1001952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680588).

1001952 is an abundant number, since it is smaller than the sum of its proper divisors (2359224).

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

1001952 is a wasteful number, since it uses less digits than its factorization.

1001952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1001952 is about 1000.9755241763. The cubic root of 1001952 is about 100.0650243758.

Adding to 1001952 its reverse (2591001), we get a palindrome (3592953).

It can be divided in two parts, 1001 and 952, that added together give a triangular number (1953 = T₆₂).

The spelling of 1001952 in words is "one million, one thousand, nine hundred fifty-two".